Role of Hexagonal Fuzzy Numbers While Applying the Max-Min Concept to a Transportation Problem

V. Tharakeswari, M. Kameswari, P. Mariappan, Yegnanarayanan Venkataraman and Valentina E. Balas
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V. Tharakeswari: Kalasalingam Academy of Research Education, Department of Mathematics
M. Kameswari: Kalasalingam Academy of Research Education, Department of Mathematics
P. Mariappan: St. Joseph’s Institute of Management [JIM-B School], Area Chair Supply Chain Management, Chair, Academic Tie-ups & International Relations
Yegnanarayanan Venkataraman: Kalasalingam Academy of Research Education, Department of Mathematics
Valentina E. Balas: University, AurelVlaicu, Department of Automation Industrial Engineering, Textiles and Transport

Chapter Chapter 8 in Fuzzy Optimization, Decision-making and Operations Research, 2023, pp 161-175 from Springer

Abstract: Abstract Transportation problems play a vital role in the scheduling and process presents minimization. The transportation problem exposes its complexity and inconsistency. When the sum of all sources’ supplies equals the sum of all destinations’ requests, it is balanced transportation problem, whereas when the sum of all sources’ supplies does not meet the sum of all destinations’ demands, it is unbalanced transportation problem. Here we present a novel approach for determining an initial Basic feasible solution for both balanced and unbalanced transportation problems. Appears to involve the max-min method has become to result of the transportation problem. It has various approaches to solving the transportation problem. This chapter finds a suitable defuzzification method to convert hexagonal fuzzy numbers to crisp numbers to get minimum cost.

Keywords: Fuzzy set; Fuzzy number; Fuzzy hexagonal number; Max-min method; Minimum transportation cost (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/978-3-031-35668-1_8

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