A Novel Weighted Average Index Method of Interval Valued Intuitionistic Fuzzy Sets and Its Application to Outsourced Software Project Risk Assessment

Abstract

A novel weighted average index model of interval valued intuitionistic fuzzy sets (IVIFS) is presented in this paper. By analyzing the interval of membership degree, the interval of non-membership degree and the interval of hesitancy degree, we provide two weighted arithmetic average indexes and two geometric average indexes of IVIFS. And we prove some mathematical properties of these average indexes. Finally, a multiple attribute decision making example applied to outsourced software project risk assessment is given to demonstrate the application of these statistical indexes. The simulation results show that the evaluation methods on these average indexes are all effective.

An Extension of the Failure Mode and Effect Analysis with Hesitant Fuzzy Sets to Assess the Occupational Hazards in the Construction Industry

“…In many of the studies conducted on risk assessment, researchers have used MCDM methods as well as expert knowledge to assess the risks. Also, due to the uncertain nature of risk, fuzzy sets [1,2], interval-valued fuzzy sets [11,15], interval-valued intuitionistic fuzzy sets [16,17], and so on are used in many models to overcome this kind of uncertainty and ambiguity. On the other hand, in many real-world problems in the field of risk assessment, for various reasons such as differences in experience and knowledge level of experts, time pressures, etc., decision-makers do not usually come to a consensus on complex decisions on specific elements and getting an agreement is usually difficult.…”