A compensatory approach to multi-objective interval transportation problem
Abstract
The data of real life problems generally cannot be expressed strictly. An efficient way of handling this situation is expressing the data as intervals. Thus this paper focus on the Multi-objective Interval Transportation Problem (MITP) whose parameters i.e. cost coefficients of the objective functions, supply and demand quantities are expressed as intervals. This problem is transformed to a traditional Multi-objective Transportation Problem (MOTP) with crisp parameters. First, interval supply-demand quantities are converted into deterministic ones by means of the convex combination of left and right limits. By an order relation that represents the decision maker’s preferences between interval costs, each objective is turned into crisp form within the right limit and centre of the costs. Finally, using Werners’ “fuzzy and” operator, a compensatory fuzzy approach to MITP is presented. And to our knowledge, combining compensatory ( and ) operator with MITP has not been published up to now. Our approach generates compromise solutions which are both compensatory and Pareto-optimal. Also a numerical example is given to illustrate the presented approach.
Keywords
References
- The article references can be accessed from the .pdf file.
Details
Primary Language
English
Subjects
Industrial Biotechnology
Journal Section
Research Article
Publication Date
March 1, 2013
Submission Date
May 27, 2011
Acceptance Date
October 23, 2011
Published in Issue
Year 2013 Volume: 31 Number: 1
APA
Gonce Köçken, H., & Ahlatcıoğlu, M. (2013). A compensatory approach to multi-objective interval transportation problem. Sigma Journal of Engineering and Natural Sciences, 31(1), 20-33. https://izlik.org/JA99FK28FL
AMA
1.Gonce Köçken H, Ahlatcıoğlu M. A compensatory approach to multi-objective interval transportation problem. SIGMA. 2013;31(1):20-33. https://izlik.org/JA99FK28FL
Chicago
Gonce Köçken, Hale, and Mehmet Ahlatcıoğlu. 2013. “A Compensatory Approach to Multi-Objective Interval Transportation Problem”. Sigma Journal of Engineering and Natural Sciences 31 (1): 20-33. https://izlik.org/JA99FK28FL.
EndNote
Gonce Köçken H, Ahlatcıoğlu M (March 1, 2013) A compensatory approach to multi-objective interval transportation problem. Sigma Journal of Engineering and Natural Sciences 31 1 20–33.
IEEE
[1]H. Gonce Köçken and M. Ahlatcıoğlu, “A compensatory approach to multi-objective interval transportation problem”, SIGMA, vol. 31, no. 1, pp. 20–33, Mar. 2013, [Online]. Available: https://izlik.org/JA99FK28FL
ISNAD
Gonce Köçken, Hale - Ahlatcıoğlu, Mehmet. “A Compensatory Approach to Multi-Objective Interval Transportation Problem”. Sigma Journal of Engineering and Natural Sciences 31/1 (March 1, 2013): 20-33. https://izlik.org/JA99FK28FL.
JAMA
1.Gonce Köçken H, Ahlatcıoğlu M. A compensatory approach to multi-objective interval transportation problem. SIGMA. 2013;31:20–33.
MLA
Gonce Köçken, Hale, and Mehmet Ahlatcıoğlu. “A Compensatory Approach to Multi-Objective Interval Transportation Problem”. Sigma Journal of Engineering and Natural Sciences, vol. 31, no. 1, Mar. 2013, pp. 20-33, https://izlik.org/JA99FK28FL.
Vancouver
1.Hale Gonce Köçken, Mehmet Ahlatcıoğlu. A compensatory approach to multi-objective interval transportation problem. SIGMA [Internet]. 2013 Mar. 1;31(1):20-33. Available from: https://izlik.org/JA99FK28FL