2023
DOI: 10.4018/ijssci.291715
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Computationally Simple and Efficient Method for Solving Real-Life Mixed Intuitionistic Fuzzy 3D Assignment Problems

Abstract: This article addresses the 3-dimensional mixed intuitionistic fuzzy assignment problems (3D-MIFAPs). In this article, firstly, the author formulates an assignment problem (AP) and assumes the parameters are in uncertainty with hesitation. Secondly, based on the nature of the parameter the author defines various types of solid assignment problem (SAP) in uncertain environment. Thirdly, to solve 3D-MIFAP the PSK method for finding an optimal solution of fully intuitionistic fuzzy assignment problem (FIFAP) is ex… Show more

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Cited by 22 publications
(10 citation statements)
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“…Kumar applied fuzzy theory to transportation problems and transform the fuzzy transportation problem into a clear-cut problem. Furthermore, he presented algorithms for solving optimization problems using fuzzy and intuitionistic fuzzy sets, and found the optimal objective value [41][42][43].…”
Section: Related Workmentioning
confidence: 99%
“…Kumar applied fuzzy theory to transportation problems and transform the fuzzy transportation problem into a clear-cut problem. Furthermore, he presented algorithms for solving optimization problems using fuzzy and intuitionistic fuzzy sets, and found the optimal objective value [41][42][43].…”
Section: Related Workmentioning
confidence: 99%
“…Both internal optimization and overall optimization are great challenges [30][31][32][33][34]. We design a progressive iteration method to optimize the objective function of KAPC in two steps.…”
Section: Progressive Iterationmentioning
confidence: 99%
“…Mathematical modeling plays a crucial role in solving real-life problems across various fields such as engineering [1,2], biology [3,4], economics [5,6], and many others. In this study, the example of an agreement between a company and three adjacent villages to provide electricity and water services will be predominantly utilized.…”
Section: Introductionmentioning
confidence: 99%