Expected value of intuitionistic fuzzy number and its application to solve multi-objective multi-item solid transportation problem for damageable items in intuitionistic fuzzy environment

Article type: Research Article

Authors: Chakraborty, Dipankar^a | Jana, Dipak Kumar^{b; *} | Roy, Tapan Kumar^c

Affiliations: [a] Department of Mathematics, Heritage Institute of Technology, East Kolkata Township, Chowbaga Road, Anandapur, Kolkata, West Bengal, India | [b] Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur, West Bengal, India | [c] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India

Correspondence: [*] Corresponding author. Dipak Kumar Jana, Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur, West Bengal, India. Tel.: +91 9474056163; Fax: +91 03224 252800; E-mail: [email protected].

Abstract: The expected value of intuitionistic fuzzy number using credibility measures has been developed here. A new method for solving a multi-objective, multi-item intuitionistic fuzzy solid transportation problems for damageable items are proposed using expected value of intuitionistic fuzzy numbers and several special cases have been derived from the proposed model. The optimal results are obtained by using three different techniques (i) Interactive satisfied method, (ii) Global criteria method and (iii) Goal programming method. A real life problem is presented to illustrate the proposed models and the results are compared in fuzzy and intuitionistic fuzzy environments.

Keywords: Intuitionistic fuzzy numbers, possibility, necessity, creditability, expected value, solid transportation problem

DOI: 10.3233/IFS-151833

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1109-1122, 2016