Open AccessOne Point Conventional Model to Optimize Trapezoidal Fuzzy Transportation Problem
Author(s) -
Dinesh C. S. Bisht,
Pankaj Kumar Srivastava
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.5-099
Subject(s) - fuzzy transportation , mathematical optimization , transportation theory , fuzzy logic , point (geometry) , scheme (mathematics) , computer science , construct (python library) , fuzzy number , mathematics , fuzzy set , artificial intelligence , mathematical analysis , programming language , geometry
This article puts forward a new one point approach to optimize trapezoidal fuzzy transportation problem. It proposes the method having point wise breakup of the trapezoidal number in such a way, that fuzzy transportation problem is converted into four crisp transportation problems. The method is equipped with minimum of supply and demand approach. In the end, the solutions are combined to construct the optimal solution. Modified distribution is applied on each crisp problem to develop optimal solution. The scheme presented is compared with competitive methods available in literature and it is found to be in good coordination with these. The scheme is equally good to be applied on unbalanced problems. Two numerical problems are considered to test the performance of the proposed approach.