Affiliations: Department of Mathematics, Heritage Institute of Technology, East Kolkata Township, Chowbaga Road, Anandapur, Kolkata, West Bengal, India | Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur, West Bengal, India | Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India
Note: [] Corresponding author. Dipak Kumar Jana, Department of Applied Science, Haldia Institute of Technology, Haldia, Purba Midnapur-721657, West Bengal, India. Tel.: +91 9474056163; Fax: 03224 252800; E-mails: [email protected] (D. Chakraborty); [email protected] (Dipak Kumar Jana); [email protected] (Tapan Kumar Roy).
Abstract: In some practical situations the decision maker is interested in setting multi aspiration levels for objectives that may not be expressed in a specific manner. So in this paper, Atanassov's intuitionistic fuzzy transportation problem with multi-item, multi-objective function assuming multiple choices is considered. We have modeled multi-objective multi-choice multi-item Atanassov's intuitionistic fuzzy transportation problem (MMMIFTP), and its several special cases. Possibility, necessity and credibility measures for Atanassov's intuitionistic fuzzy numbers for the first time have been developed here. Solution methodology of those models using chance operator has been discussed. A real life example is presented to illustrate proposed models numerically and the results are compared. The optimal results are obtained by using three different soft computing techniques (i) Interactive satisfied method, (ii) Global criteria method and (iii) Goal programming method.
