International Journal of Computational Intelligence Systems

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Volume 9, Issue 6, December 2016, Pages 1154 - 1173

An efficient computational approach for solving type-2 intuitionistic fuzzy numbers based Transportation Problems

Authors
Ali Ebrahimnejad1, *, a.ebrahimnejad@qaemiau.ac.ir aemarzoun@gmail.com, Jose Luis Verdegay2, verdegay@decsai.ugr.es
1Department of Mathematics, Qaemshahr Branch Islamic Azad University, Qaemshahr, P.O. Box 163, Iran
2Department of Computer Science and Artificial Intelligence, Universidad de Granada, 18014 Granada, Spain
* Corresponding author.
Corresponding Author
Received 5 August 2015, Accepted 20 June 2016, Available Online 1 December 2016.
DOI
10.1080/18756891.2016.1256576How to use a DOI?
Keywords
Intuitionistic fuzzy transportation problem; Triangular intuitionistic fuzzy number; Accuracy function
Abstract

This paper is concerned with the solution procedure of a Transportation Problem in which costs are triangular intuitionistic fuzzy numbers (TIFN) and availabilities and demands are taken as exact numerical values. According to the existing solution approach, TIFN are first ordered by using an accuracy function defined on score functions for membership and non-membership functions of TIFN. Then this ordering is used to develop methods for finding an initial basic feasible solution and the optimal solution of intuitionistic fuzzy Transportation Problems in terms of triangular intuitionistic fuzzy numbers. This solution approach, in spite of its merits, requires a lot of fuzzy arithmetic operations, such as additions and subtractions of TIFN, as well as a lot of comparisons on TIFN. In this paper an efficient computational solution approach is proposed for solving intuitionistic fuzzy Transportation Problems based on classical transportation algorithms to overcome the shortcomings of the aforementioned solution approach. In the approach here presented, the comparison of triangular intuitionistic fuzzy costs is done once and all arithmetic operations are done on real numbers. Finally, for the sake of illustration, two intuitionistic fuzzy Transportation Problems are solved herein to demonstrate the usages and advantages of the proposed solution approach.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 6
Pages
1154 - 1173
Publication Date
2016/12/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1256576How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Ali Ebrahimnejad
AU  - Jose Luis Verdegay
PY  - 2016
DA  - 2016/12/01
TI  - An efficient computational approach for solving type-2 intuitionistic fuzzy numbers based Transportation Problems
JO  - International Journal of Computational Intelligence Systems
SP  - 1154
EP  - 1173
VL  - 9
IS  - 6
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1256576
DO  - 10.1080/18756891.2016.1256576
ID  - Ebrahimnejad2016
ER  -