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A Multi-Objective Stochastic Solid Transportation Problem with the Supply, Demand, and Conveyance Capacity Following the Weibull Distribution. MATHEMATICS 2021. [DOI: 10.3390/math9151757] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
This study addresses a multi-objective stochastic solid transportation problem (MOSSTP) with uncertainties in supply, demand, and conveyance capacity, following the Weibull distribution. This study aims to minimize multiple transportation costs in a solid transportation problem (STP) under probabilistic inequality constraints. The MOSSTP is expressed as a chance-constrained programming problem, and the probabilistic constraints are incorporated to ensure that the supply, demand, and conveyance capacity are satisfied with specified probabilities. The global criterion method and fuzzy goal programming approach have been used to solve multi-objective optimization problems. Computational results demonstrate the effectiveness of the proposed models and methodology for the MOSSTP under uncertainty. A sensitivity analysis is conducted to understand the sensitivity of parameters in the proposed model.
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A solid transportation problem in uncertain environment involving type-2 fuzzy variable. Neural Comput Appl 2019. [DOI: 10.1007/s00521-018-03988-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Kar MB, Kundu P, Kar S, Pal T. A multi-objective multi-item solid transportation problem with vehicle cost, volume and weight capacity under fuzzy environment. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171717] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Mouhya B. Kar
- Department of Computer Science and Engineering, Heritage Institute of Technology, Kolkata, India
| | - Pradip Kundu
- Department of Mathematics, Birla Institute of Technology Mesra, Ranchi, India
| | - Samarjit Kar
- Department of Mathematics, National Institute of Technology Durgapur, Durgapur, India
| | - Tandra Pal
- Department of Computer Science, National Institute of Technology Durgapur, Durgapur, India
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Wang H, Ju Y, Liu P, Ju D, Liu Z. Some trapezoidal interval type-2 fuzzy Heronian mean operators and their application in multiple attribute group decision making. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-17636] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Honghai Wang
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China
| | - Yanbing Ju
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
| | - Peide Liu
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China
| | - Dawei Ju
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
| | - Zhengmin Liu
- School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, China
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Sengupta D, Das A, Bera UK. A gamma type-2 defuzzification method for solving a solid transportation problem considering carbon emission. APPL INTELL 2018. [DOI: 10.1007/s10489-018-1173-7] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Ferdowsi F, Maleki HR, Niroomand S. A credibility-based hybrid fuzzy programming approach for a bi-objective refueling alternative fuel vehicles problem under uncertainty. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2018. [DOI: 10.3233/jifs-171471] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Farzaneh Ferdowsi
- Faculty of Mathematics, Shiraz University of Technology, Shiraz, Iran
| | - Hamid Reza Maleki
- Faculty of Mathematics, Shiraz University of Technology, Shiraz, Iran
| | - Sadegh Niroomand
- Department of Industrial Engineering, Eastern Mediterranean University, Famagusta, Mersin, Turkey; Department of Industrial Engineering, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran
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Ju Y, Ju D, Wang A, Ju M. GRP method for multiple attribute group decision making under trapezoidal interval type-2 fuzzy environment. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2017. [DOI: 10.3233/jifs-16608] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Yanbing Ju
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
| | - Dawei Ju
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
| | - Aihua Wang
- Graduate School of Education, Peking University, Beijing, China
| | - Mingyue Ju
- School of Management and Economics, Beijing Institute of Technology, Beijing, China
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Defuzzification and application of trapezoidal type-2 fuzzy variables to green solid transportation problem. Soft comput 2017. [DOI: 10.1007/s00500-017-2491-0] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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