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

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.