LAUSR

In transportation problem (TP) transportation cost depends on weather condition, diesel prices and road condition which are uncontrollable. In most cases, precise data have been used, but practically these parameters are imprecise and ambiguous. The TP has recently been considered firstly with fuzzy and next with intuitionistic fuzzy parameters. But fuzzy and intuitionistic fuzzy use fixed membership and non-membership degrees which are not true practically. Thus, we have encountered another kind of uncertainty which cannot be handled by using fuzzy or intuitionistic fuzzy sets. Here, we have considered interval-valued intuitionistic fuzzy (IVIF) sets instead of fuzzy or intuitionistic fuzzy sets. In present paper, we have defined an IVIF numbers and further we have defined expected interval and expected values of IVIF numbers. Also, we have stated and proved some theorem/results related to expected values. We considered a real example of interval-valued intuitionistic fuzzy transportation problem for understanding the present work and compared our promising results with existing methods.