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Abstract
A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as attribute values. Among them, when the importance of multiple attributes is different, it can only be calculated by changing the interval-valued weights. In fact, we can directly abandon the commutativity and extend the interval-valued overlap functions (IO) to interval-valued pseudo overlap functions (IPO) so that function itself implies the weights of the attributes, thus there is no need to calculate the OWA operator, which is more flexible in applications. In addition, the similar generalization on interval-valued pseudo t-norms obtained from interval-valued t-norms further enhances the feasibility of our study. In this paper, we mainly present the notion of interval-valued pseudo overlap functions and a few their qualities, including migrativity and homogeneity, and give some construction theorems and specific examples. Then, we propose the definitions of residuated implications induced by interval-valued pseudo overlap functions, give their equivalent forms, and prove some properties satisfied by them. Finally, two application examples about IPO to interval-valued multi-attribute decision making (I-MADM) are described. The results show that interval-valued pseudo overlap functions can not only be used to obtain the same rankings, but also be more flexible, simple and widely used.
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Wan SP, Chen ZH, Dong JY. An integrated interval type-2 fuzzy technique for democratic–autocratic multi-criteria decision making. Knowl Based Syst 2021. [DOI: 10.1016/j.knosys.2020.106735] [Citation(s) in RCA: 27] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Kutlu Gündoğdu F. A spherical fuzzy extension of MULTIMOORA method. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020. [DOI: 10.3233/jifs-179462] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Fatma Kutlu Gündoğdu
- Industrial Engineering Department, Istanbul Technical University, Besiktas, Istanbul, Turkey
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Zhou X, Wang Y, Chai J, Wang L, Wang S, Lev B. Sustainable supply chain evaluation: A dynamic double frontier network DEA model with interval type-2 fuzzy data. Inf Sci (N Y) 2019. [DOI: 10.1016/j.ins.2019.07.033] [Citation(s) in RCA: 34] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Fuzzy Multicriteria Decision-Making Model (MCDM) for Raw Materials Supplier Selection in Plastics Industry. MATHEMATICS 2019. [DOI: 10.3390/math7100981] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
To be able to compete in the domestic plastic industry, small and medium-sized enterprises producing plastic need to proactively find the supply of raw materials, avoiding shortages like in the previous years. Purchasing is extremely important and will create a competitive advantage with competitors in the market, so finding suppliers will determine the success in the later stages of the production chain. With the development of the current information system, selection and evaluation have become important in order to achieve effective decision-making through optimal options. In this study, the authors provide a new approach for decision-makers in evaluating and selecting suppliers, which is formulated based on the supply chain operation reference (SCOR) model, fuzzy analytic network process (FANP), and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR). The contribution of this research is to propose a multicriteria decision-making model (MCDM) for raw material supplier selection in the plastic industry. This research also provided a useful guideline for supplier selection in other industry.
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Kutlu Gündoğdu F, Kahraman C. A novel spherical fuzzy analytic hierarchy process and its renewable energy application. Soft comput 2019. [DOI: 10.1007/s00500-019-04222-w] [Citation(s) in RCA: 155] [Impact Index Per Article: 31.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Kutlu Gündoğdu F, Kahraman C. A novel VIKOR method using spherical fuzzy sets and its application to warehouse site selection. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2019. [DOI: 10.3233/jifs-182651] [Citation(s) in RCA: 94] [Impact Index Per Article: 18.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Fatma Kutlu Gündoğdu
- Industrial Engineering Department, Istanbul Technical University, Besiktas, Istanbul, Turkey
- Industrial Engineering Department, Istanbul Kültür University, Bakırkoy, Istanbul, Turkey
| | - Cengiz Kahraman
- Industrial Engineering Department, Istanbul Technical University, Besiktas, Istanbul, Turkey
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An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in importing field. COMPUT IND 2019. [DOI: 10.1016/j.compind.2018.12.017] [Citation(s) in RCA: 130] [Impact Index Per Article: 26.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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A shape similarity-based ranking method of hesitant fuzzy linguistic preference relations using discrete fuzzy number for group decision making. Soft comput 2019. [DOI: 10.1007/s00500-019-03895-7] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Cheng SH. Autocratic decision making using group recommendations based on hesitant fuzzy sets for green hotels selection and bidders selection. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2018.08.014] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Cheng SH. Autocratic multiattribute group decision making for hotel location selection based on interval-valued intuitionistic fuzzy sets. Inf Sci (N Y) 2018. [DOI: 10.1016/j.ins.2017.10.018] [Citation(s) in RCA: 65] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Liu K, Liu Y, Qin J. An integrated ANP-VIKOR methodology for sustainable supplier selection with interval type-2 fuzzy sets. GRANULAR COMPUTING 2018. [DOI: 10.1007/s41066-017-0071-4] [Citation(s) in RCA: 40] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions. Int J Approx Reason 2017. [DOI: 10.1016/j.ijar.2017.07.001] [Citation(s) in RCA: 74] [Impact Index Per Article: 10.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Chen SM, Kuo LW. Autocratic decision making using group recommendations based on interval type-2 fuzzy sets, enhanced Karnik–Mendel algorithms, and the ordered weighted aggregation operator. Inf Sci (N Y) 2017. [DOI: 10.1016/j.ins.2017.05.030] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Qin J. Interval type-2 fuzzy Hamy mean operators and their application in multiple criteria decision making. GRANULAR COMPUTING 2017. [DOI: 10.1007/s41066-017-0041-x] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Sanchez MA, Castro JR, Castillo O, Mendoza O, Rodriguez-Diaz A, Melin P. Fuzzy higher type information granules from an uncertainty measurement. GRANULAR COMPUTING 2016. [DOI: 10.1007/s41066-016-0030-5] [Citation(s) in RCA: 56] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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