101
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Wu H, Yuan Y, Wei L, Pei L. On entropy, similarity measure and cross-entropy of single-valued neutrosophic sets and their application in multi-attribute decision making. Soft comput 2018. [DOI: 10.1007/s00500-018-3073-5] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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102
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A similarity-based method for remaining useful life prediction based on operational reliability. APPL INTELL 2018. [DOI: 10.1007/s10489-017-1128-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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103
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Ye J. Fault diagnoses of hydraulic turbine using the dimension root similarity measure of single-valued neutrosophic sets. INTELLIGENT AUTOMATION AND SOFT COMPUTING 2018. [DOI: 10.1080/10798587.2016.1261955] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
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104
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Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis. INFORMATION 2017. [DOI: 10.3390/info8040162] [Citation(s) in RCA: 36] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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105
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Garg H, Nancy. Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment. APPL INTELL 2017. [DOI: 10.1007/s10489-017-1070-5] [Citation(s) in RCA: 49] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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106
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107
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108
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Fan C, Ye J. The cosine measure of refined-single valued neutrosophic sets and refined-interval neutrosophic sets for multiple attribute decision-making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-17270] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- ChangXing Fan
- Department of Computer Science, Shaoxing University, Shaoxing, Zhejiang, P.R. China
| | - Jun Ye
- Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang, P.R. China
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109
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Forecasting Model Based on Neutrosophic Logical Relationship and Jaccard Similarity. Symmetry (Basel) 2017. [DOI: 10.3390/sym9090191] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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110
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New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making. Pattern Anal Appl 2017. [DOI: 10.1007/s10044-017-0635-6] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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111
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Simplified Neutrosophic Exponential Similarity Measures for the Initial Evaluation/Diagnosis of Benign Prostatic Hyperplasia Symptoms. Symmetry (Basel) 2017. [DOI: 10.3390/sym9080154] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
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112
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113
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Ngan RT, Ali M, Son LH. δ-equality of intuitionistic fuzzy sets: a new proximity measure and applications in medical diagnosis. APPL INTELL 2017. [DOI: 10.1007/s10489-017-0986-0] [Citation(s) in RCA: 34] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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114
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Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making. Symmetry (Basel) 2017. [DOI: 10.3390/sym9070121] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Abstract
The neutrosophic cubic set can contain much more information to express its interval neutrosophic numbers and single-valued neutrosophic numbers simultaneously in indeterminate environments. Hence, it is a usual tool for expressing much more information in complex decision-making problems. Unfortunately, there has been no research on similarity measures of neutrosophic cubic sets so far. Since the similarity measure is an important mathematical tool in decision-making problems, this paper proposes three cosine measures between neutrosophic cubic sets based on the included angle cosine of two vectors, distance, and cosine functions, and investigates their properties. Then, we develop a cosine measures-based multiple attribute decision-making method under a neutrosophic cubic environment in which, from the cosine measure between each alternative (each evaluated neutrosophic cubic set) and the ideal alternative (the ideal neutrosophic cubic set), the ranking order of alternatives and the best option can be obtained, corresponding to the cosine measure values in the decision-making process. Finally, an illustrative example about the selection problem of investment alternatives is provided to illustrate the application and feasibility of the developed decision-making method.
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115
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A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application. Symmetry (Basel) 2017. [DOI: 10.3390/sym9070119] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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116
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Ashraf S, Naz S, Rashmanlou H, Malik MA. Regularity of graphs in single valued neutrosophic environment. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-161960] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Samina Ashraf
- Department of Mathematics, Queen Mary college, Lahore, Pakistan
| | - Sumera Naz
- Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
| | - Hossein Rashmanlou
- Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
| | - M. Aslam Malik
- Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
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117
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Some Single-Valued Neutrosophic Dombi Weighted Aggregation Operators for Multiple Attribute Decision-Making. Symmetry (Basel) 2017. [DOI: 10.3390/sym9060082] [Citation(s) in RCA: 49] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
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118
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119
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Karaaslan F. Multicriteria Decision-Making Method Based on Similarity Measures under Single-Valued Neutrosophic Refined and Interval Neutrosophic Refined Environments. INT J INTELL SYST 2017. [DOI: 10.1002/int.21906] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Faruk Karaaslan
- Department of Mathematics, Faculty of Sciences; Çankırı Karatekin University; Çankırı 18100 Turkey
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120
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Thanh ND, Ali M, Son LH. A Novel Clustering Algorithm in a Neutrosophic Recommender System for Medical Diagnosis. Cognit Comput 2017. [DOI: 10.1007/s12559-017-9462-8] [Citation(s) in RCA: 51] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
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121
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Şahin R. Normal neutrosophic multiple attribute decision making based on generalized prioritized aggregation operators. Neural Comput Appl 2017. [DOI: 10.1007/s00521-017-2896-9] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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122
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Naz S, Rashmanlou H, Malik MA. Operations on single valued neutrosophic graphs with application. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-161944] [Citation(s) in RCA: 29] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Sumera Naz
- Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
| | - Hossein Rashmanlou
- Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
| | - M. Aslam Malik
- Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
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123
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Estimation of the joint roughness coefficient (JRC) of rock joints by vector similarity measures. BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT 2017. [DOI: 10.1007/s10064-016-0947-6] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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124
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Deli I, Şubaş Y. Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-151677] [Citation(s) in RCA: 45] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Irfan Deli
- Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey
| | - Yusuf Şubaş
- Kilis Vocational High School, Kilis 7 Aralık University, Kilis, Turkey
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125
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Ye J. Exponential operations and aggregation operators of interval neutrosophic sets and their decision making methods. SPRINGERPLUS 2016; 5:1488. [PMID: 28018779 PMCID: PMC5147724 DOI: 10.1186/s40064-016-3143-z] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/23/2016] [Accepted: 08/24/2016] [Indexed: 02/08/2023]
Abstract
An interval neutrosophic set (INS) is a subclass of a neutrosophic set
and a generalization of an interval-valued intuitionistic fuzzy set, and then the
characteristics of INS are independently described by the interval numbers of its
truth-membership, indeterminacy-membership, and falsity-membership degrees. However,
the exponential parameters (weights) of all the existing exponential operational
laws of INSs and the corresponding exponential aggregation operators are crisp
values in interval neutrosophic decision making problems. As a supplement, this
paper firstly introduces new exponential operational laws of INSs, where the bases
are crisp values or interval numbers and the exponents are interval neutrosophic
numbers (INNs), which are basic elements in INSs. Then, we propose an interval
neutrosophic weighted exponential aggregation (INWEA) operator and a dual interval
neutrosophic weighted exponential aggregation (DINWEA) operator based on these
exponential operational laws and introduce comparative methods based on cosine
measure functions for INNs and dual INNs. Further, we develop decision-making
methods based on the INWEA and DINWEA operators. Finally, a practical example on the
selecting problem of global suppliers is provided to illustrate the applicability
and rationality of the proposed methods.
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Affiliation(s)
- Jun Ye
- Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, 312000 Zhejiang Province People's Republic of China
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126
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Ji P, Wang JQ, Zhang HY. Frank prioritized Bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2660-6] [Citation(s) in RCA: 72] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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127
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Peng HG, Zhang HY, Wang JQ. Probability multi-valued neutrosophic sets and its application in multi-criteria group decision-making problems. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2702-0] [Citation(s) in RCA: 74] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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128
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Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2607-y] [Citation(s) in RCA: 134] [Impact Index Per Article: 16.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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129
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Multi-criteria Group Decision-Making Based on Interval Neutrosophic Uncertain Linguistic Variables and Choquet Integral. Cognit Comput 2016. [DOI: 10.1007/s12559-016-9428-2] [Citation(s) in RCA: 60] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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130
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131
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Similarity measures of bipolar neutrosophic sets and their application to multiple criteria decision making. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2479-1] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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132
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Ji P, Zhang HY, Wang JQ. A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2436-z] [Citation(s) in RCA: 130] [Impact Index Per Article: 16.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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133
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Peng JJ, Wang JQ, Wu XH. An extension of the ELECTRE approach with multi-valued neutrosophic information. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2411-8] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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134
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Tian ZP, Wang J, Zhang HY, Wang JQ. Multi-criteria decision-making based on generalized prioritized aggregation operators under simplified neutrosophic uncertain linguistic environment. INT J MACH LEARN CYB 2016. [DOI: 10.1007/s13042-016-0552-9] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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135
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An improved MULTIMOORA approach for multi-criteria decision-making based on interdependent inputs of simplified neutrosophic linguistic information. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2378-5] [Citation(s) in RCA: 43] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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136
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137
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A Dual Hesitant Fuzzy Multigranulation Rough Set over Two-Universe Model for Medical Diagnoses. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE 2016; 2015:292710. [PMID: 26858772 PMCID: PMC4691518 DOI: 10.1155/2015/292710] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/24/2015] [Accepted: 11/12/2015] [Indexed: 11/17/2022]
Abstract
In medical science, disease diagnosis is one of the difficult tasks for medical experts who are confronted with challenges in dealing with a lot of uncertain medical information. And different medical experts might express their own thought about the medical knowledge base which slightly differs from other medical experts. Thus, to solve the problems of uncertain data analysis and group decision making in disease diagnoses, we propose a new rough set model called dual hesitant fuzzy multigranulation rough set over two universes by combining the dual hesitant fuzzy set and multigranulation rough set theories. In the framework of our study, both the definition and some basic properties of the proposed model are presented. Finally, we give a general approach which is applied to a decision making problem in disease diagnoses, and the effectiveness of the approach is demonstrated by a numerical example.
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138
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Chou CC. A generalized similarity measure for fuzzy numbers. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/ifs-151838] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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139
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An interval neutrosophic linguistic multi-criteria group decision-making method and its application in selecting medical treatment options. Neural Comput Appl 2016. [DOI: 10.1007/s00521-016-2203-1] [Citation(s) in RCA: 55] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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140
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Hybrid vector similarity measures and their applications to multi-attribute decision making under neutrosophic environment. Neural Comput Appl 2015. [DOI: 10.1007/s00521-015-2125-3] [Citation(s) in RCA: 43] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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141
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Ye J, Fu J. Multi-period medical diagnosis method using a single valued neutrosophic similarity measure based on tangent function. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2015; 123:142-9. [PMID: 26506531 DOI: 10.1016/j.cmpb.2015.10.002] [Citation(s) in RCA: 58] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2015] [Revised: 08/31/2015] [Accepted: 10/05/2015] [Indexed: 02/05/2023]
Abstract
Because of the increased volume of information available to physicians from advanced medical technology, the obtained information of each symptom with respect to a disease may contain truth, falsity and indeterminacy information. Since a single-valued neutrosophic set (SVNS) consists of the three terms like the truth-membership, indeterminacy-membership and falsity-membership functions, it is very suitable for representing indeterminate and inconsistent information. Then, similarity measure plays an important role in pattern recognition and medical diagnosis. However, existing medical diagnosis methods can only handle the single period medical diagnosis problem, but cannot deal with the multi-period medical diagnosis problems with neutrosophic information. Hence, the purpose of this paper was to propose similarity measures between SVNSs based on tangent function and a multi-period medical diagnosis method based on the similarity measure and the weighted aggregation of multi-period information to solve multi-period medical diagnosis problems with single-valued neutrosophic information. Then, we compared the tangent similarity measures of SVNSs with existing similarity measures of SVNSs by a numerical example about pattern recognitions to indicate the effectiveness and rationality of the proposed similarity measures. In the multi-period medical diagnosis method, we can find a proper diagnosis for a patient by the proposed similarity measure between the symptoms and the considered diseases represented by SVNSs and the weighted aggregation of multi-period information. Then, a multi-period medical diagnosis example was presented to demonstrate the application of the proposed diagnosis method and to indicate the effectiveness of the proposed diagnosis method by the comparative analysis. The diagnosis results showed that the developed multi-period medical diagnosis method can help doctors make a proper diagnosis by the comprehensive information of multi-periods.
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Affiliation(s)
- Jun Ye
- Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang 312000, PR China.
| | - Jing Fu
- Shaoxing Second Hospital, 123 Yanan Road, Shaoxing, Zhejiang 312000, PR China
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142
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Yao Z, Ran H. Operational efficiency evaluation of Urban and rural residents’ basic pension insurance system based on the triangular fuzzy neutrosophic GRA method. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2013. [DOI: 10.3233/jifs-221631] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/12/2023]
Abstract
At present, the basic pension insurance system for urban and rural residents in China has played a positive role in guaranteeing the basic life of the elderly in urban and rural areas. At present, the basic pension insurance system for urban and rural residents is not perfect, and there is still a great lag in the formulation of cross-system and cross-regional policies. There are differences in treatment between groups, between regions and between urban and rural areas. The coverage is not comprehensive enough and there are still some people who are not included in the basic protection system, etc. People urgently need a social pension insurance system that can provide reliable and sustainable protection in their old age. The operational efficiency evaluation of urban and rural residents’ basic pension insurance systems is viewed as the multi-attribute decision-making (MADM). In this paper, the triangular fuzzy neutrosophic numbers grey relational analysis (TFNN-GRA) method is built based on the traditional grey relational analysis (GRA) and triangular fuzzy neutrosophic sets (TFNSs). Finally, a numerical example for operational efficiency evaluation of urban and rural residents’ basic pension insurance systems has been given and some comparisons are used to illustrate advantages of 2TLNN-GRA method.
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Affiliation(s)
- Zhigang Yao
- Department of Economic Management, Sichuan College of Architectural Technology, Chengdu, China
| | - Hui Ran
- College of Finance and Logistics Management, Liuzhou Vocational & Technical College, Liuzhou, Guangxi, China
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