Ranking approach based on incenter in triangle of centroids to solve type-1 and type-2 fuzzy transportation problem

Several methods have been introduced in literature to rank a fuzzy number for solving fuzzy transportation problem. But complexity and problem specific nature encourages the readers to work more on ranking techniques. In the present paper, incentre of centroids has been employed to convert trapezoid...

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Bibliographic Details
Main Authors: Chhibber, Divya, Bisht, Dinesh C. S., Srivastava, Pankaj Kumar
Format: Conference Proceeding
Language:English
Subjects:
Centroids
Fuzzy systems
Ranking
Transportation problem
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Summary:Several methods have been introduced in literature to rank a fuzzy number for solving fuzzy transportation problem. But complexity and problem specific nature encourages the readers to work more on ranking techniques. In the present paper, incentre of centroids has been employed to convert trapezoidal fuzzy transportation problem of type 1 and type-2 both into crisp one, which is easy to approach and is applicable on existent problems of transportation. Once the crisp form is obtained from fuzzy, it is resolved by north-west corner technique to obtain the primary solution. Optimality is checked through modified distribution method. The merits of the proposed ranking technique over existing schemes are conferred by some examples. The acquired consequences show the efficiency of the suggested method.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5086644