Dual hesitant fuzzy Correlation coefficient-based decision-making algorithm and its applications to Engineering Cost Management problems

Abstract

Engineering management plays a significant part in project construction, and it is a process involved with making decision under uncertainty. When decision makers are hesitant to assess investment projects, fuzzy set theory offers an effective tool for dealing with uncertainty. In this paper, a decision-making method is put forward for handling engineering management problems, where dual hesitant fuzzy set is adopted to model the uncertainty. Firstly, we raise an improved dual hesitant fuzzy correlation coefficient and its weighted form. Compared with the current dual hesitant fuzzy correlation coefficients, the presented one has more desirable properties. It not only can manifest the positive or negative correlation between dual hesitant fuzzy sets, but also can guarantee the dual hesitant fuzzy correlation coefficient is 1 (−1) if and only if the two dual hesitant fuzzy sets are identical (complementary). Secondly, a mathematical programming model, which integrates within-attribute and between-attribute variation information, is designed to derive the attribute weights. More importantly, it can fully utilize the decision information. Finally, the weighted correlation coefficients are calculated, and an illustrative example concerning engineering management is offered to demonstrate the rationality of the proposed technique.