International Journal of Fuzzy Mathematical Archive
  • Year: 2018
  • Volume: 15
  • Issue: 1

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

  • Author:
  • Sungeeta Singh1, Renu Tuli2,, Deepali Sarode3
  • Total Page Count: 18
  • Page Number: 19 to 36

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

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.

Keywords

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