Objective weights with intuitionistic fuzzy entropy measures and computational experiment analysis

A method of determining attribute weights in evidential reasoning approach based on incompatibility among attributes

“…In objective methods, attribute weights are derived from an objective decision matrix. Typical methods include entropy method (Chen & Li, 2010,Chen & Li, 2011Deng, Yeh, & Willis, 2000;Hwang & Yoon, 1981;Xu, 2004), multiple objective programming model (Choo & Wedley, 1985), standard deviation (SD) method (Deng et al, 2000), correlation coefficient and standard deviation integrated (CCSD) method (Wang & Luo, 2010), criteria importance through intercriteria correlation (CRITIC) method (Diakoulaki, Mavrotas, & Papayannakis, 1995), and deviation maximization method (Wang, 1998). Hybrid methods synthetically employ the subjective preference of a decision maker and an objective decision matrix to produce attribute weights.…”

Generalized cross-entropy based group decision making with unknown expert and attribute weights under interval-valued intuitionistic fuzzy environment

“…Subjective weights are obtained from preference relations information in DM's subjective comparative judgments matrices on specific attributes (Szmidt & Kacprzyk, 2003, 2005, while objective weights are derived from the information in decision matrices through mathematical models (Chen & Li, 2011). Most current related researches are conducted to study MAGDM in an IVIF environment integrating subjective weighting methods based on certain preference relations information, such as additive and multiplicative consistent intuitionistic relations (Gong, Li, Forrest, & Zhao, 2011;Gong, Li, Zhou, & Yao, 2009;Xu, 2007aXu, , 2012, consistent interval-valued intuitionistic preference relations Wang, Wang, & Li, 2009), incomplete IVIF preference relations (Wang & Li, 2012).…”

An intuitionistic fuzzy graded covering rough set

“…This theory has been successfully applied in many fields for decision analysis and pattern recognition [9,10,52,54,59,60] . Rough sets and IF sets (IFSs) both capture particular facets of the same notionimprecision.…”