Abstract
The primitive notions of rough sets and intuitionistic fuzzy set (IFS) are general mathematical tools having the ability to handle the uncertain and imprecise knowledge easily. EDAS (Evaluation based on distance from average solution) method has a significant role in decision making problems, especially when more conflicting criteria exist in multicriteria group decision making (MCGDM) problems. The aim of this manuscript is to present intuitionistic fuzzy roughEDAS (IFREDAS) method based on IF rough averaging and geometric aggregation operators. In addition, we put forward the concept of IF rough weighted averaging (IFRWA), IF rough ordered weighted averaging (IFROWA) and IF rough hybrid averaging (IFRHA) aggregation operators. Furthermore, the concepts of IF rough weighted geometric (IFRWG), IF rough ordered weighted geometric (IFROWG) and IF rough hybrid geometric (IFRHG) aggregation operators are investigated. The basic desirable characteristics of the investigated operator are given in detail. A new score and accuracy functions are defined for the proposed operators. Next, IFR-EDAS model for MCGDM and their stepwise algorithm are demonstrated by utilizing the proposed approach. Finally, a numerical example for the developed model is presented and a comparative study of the investigated models with some existing methods are expressed broadly which show that the investigated models are more effective and useful than the existing approaches.
Highlights
In this competitive environment, the complexity in decision making (DM) problems grows with the intricacy of the socio-economic environment
Thereafter, Atanassov [2] investigated the prominent concept of intuitionistic fuzzy set (IFS) characterized by two functions MG and nonmembership grade (NonMG)
Ghorabaee et al [51] is the pioneer who investigated the EDAS method to solve DM problems. This method has a significant role in DM problems especially when more conflict criteria exist in multicriteria group decision making (MCGDM) problems
Summary
The complexity in decision making (DM) problems grows with the intricacy of the socio-economic environment. By using the concept of crisp and fuzzy approximation space, Zhou and Wu [26] initiated the notion of rough IFS and IFRS and presented their constrictive and axiomatic study in detail. By applying the concept of triangular IF numbers Wang et al [45]–[50] investigated different aggregation operators and presented their applications in group decision making. Zhang et al [58] presented the picture fuzzy weighted averaging/geometric operator under EDAS method for MCGDM. From the best of our knowledge and above analysis up-till no application of EDAS method with the hybrid study if IFS and rough sets by applying IF averaging and geometric aggregation operators is reported in IF environment. A comparative study of the investigated models with some existing methods are expressed broadly which show that the investigated model is more effective and useful than the existing approaches
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