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Literature review on type-2 fuzzy set theory. Soft comput 2022. [DOI: 10.1007/s00500-022-07304-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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Touqeer M, Umer R, Ali MI. A chance-constraint programming model with interval-valued pythagorean fuzzy constraints. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2021. [DOI: 10.3233/jifs-202383] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Pythagorean fuzzy sets and interval-valued Pythagorean fuzzy sets are more proficient in handling uncertain and imprecise information than intuitionistic fuzzy sets and fuzzy sets. In this article, we put forward a chance-constraint programming method to solve linear programming network problems with interval-valued Pythagorean fuzzy constraints. This practice is developed using score function and upper and lower membership functions of interval-valued Pythagorean fuzzy numbers. The feasibility of the anticipated approach is illustrated by solving an airway network application and shown to be used to solve different types of network problems with objective function having interval-valued Pythagorean fuzzy numbers by employing it on shortest path problem and minimum spanning tree problem. Furthermore, a comparative examination was performed to validate the effectiveness and usefulness of the projected methodology.
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Affiliation(s)
- Muhammad Touqeer
- Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
| | - Rimsha Umer
- Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
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Tan X, Gong Z, Chiclana F, Zhang N. Consensus modeling with cost chance constraint under uncertainty opinions. Appl Soft Comput 2018. [DOI: 10.1016/j.asoc.2017.08.049] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Gong Z, Xu X, Li L, Xu C. Consensus modeling with nonlinear utility and cost constraints: A case study. Knowl Based Syst 2015. [DOI: 10.1016/j.knosys.2015.07.031] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Cebi F, Otay İ. Multi-Criteria and Multi-Stage Facility Location Selection under Interval Type-2 Fuzzy Environment: A Case Study for a Cement Factory. INT J COMPUT INT SYS 2015. [DOI: 10.1080/18756891.2015.1001956] [Citation(s) in RCA: 38] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022] Open
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