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International Journal of Fuzzy Mathematical Archive
Year : 2018, Volume : 15, Issue : 1
First page : ( 19) Last page : ( 36)
Print ISSN : 2320-3242. Online ISSN : 2320-3250.
Article DOI : 10.22457/ijfma.v15n1a3

Optimal Solutions of the Fuzzy Multi Index Bi-criteria Fixed Charge Bottleneck Transportation Problem

Singh Sungeeta1, Tuli Renu2,*, Sarode Deepali3

1Department of Mathematics, Amity University, Gurgaon, Haryana, India. E-mail: sungeeta2003@rediffmail.com

2Department of Mathematics, Amity School of Engineering and Technology, Bijwasan, New Delhi, India. E-mail: rtuli@amity.edu, renu.tuli@gmail.com

3Department of Mathematics, Amity University, Gurgaon, Haryana, India.

*Corresponding author: E-mail: dimple1579@gmail.com

AMS Mathematics Subject Classification (2010): 90B06

Online published on 7 February, 2019.

Abstract

In this paper, fuzzy multi index bi-criteria fixed charge bottleneck transportation problem (FMIBCFCBTP) is considered and for the first time all parameters are taken as trapezoidal fuzzy numbers. An algorithm is developed to find fuzzy time-cost trade-off pairs of FMIBCFCBTP. A numerical example is given to explain the proposed algorithm.

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Keywords

Multi Index Transportation Problem, efficient time-cost pairs, fixed charge, Trapezoidal fuzzy numbers, Bottleneck transportation Problem.

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