a basic assumption of madm methods such as saw and topsis is the statistical independence of criteria. violating this assumption would result in erroneous decisions. however, there are many cases in which criteria are dependent and based on this situation decision has to be made. in this paper, an approach based on the property of principal component analysis (pca) in producing independent vari...

Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of P...

one of important issues in designing a supply chain is supplier selection. this issue is complicated, because each supplier should satisfy some criteria from buyer and choosing among them is actually a multi criteria decision making problem. so, there is a need for a structured and systematic approach to solve this problem. in this article, we address supplier selection in an advertising indust...

Abstract—Considering its need to trade-off multiple criteria exhibiting vagueness and imprecision, supplier selection is an important multi-criteria decision making problem. Vague and imprecise judgments inherent in numerous features of supplier selection call for using linguistic assessments rather than exact numerical values. In this paper, a novel fuzzy multi-criteria group decision making a...