A Novel Approach on the Intuitionistic Fuzzy Rough Frank Aggregation Operator‐Based EDAS Method for Multicriteria Group Decision‐Making

Abstract

The basic ideas of rough sets and intuitionistic fuzzy sets (IFSs) are precise statistical instruments that can handle vague knowledge easily. The EDAS (evaluation based on distance from average solution) approach plays an important role in decision-making issues, particularly when multicriteria group decision-making (MCGDM) issues have more competing criteria. The purpose of this paper is to introduce the intuitionistic fuzzy rough Frank EDAS (IFRF-EDAS) methodology based on IF rough averaging and geometric aggregation operators. We proposed various aggregation operators such as IF rough Frank weighted averaging (IFRFWA), IF rough Frank ordered weighted averaging (IFRFOWA), IF rough Frank hybrid averaging (IFRFHA), IF rough Frank weighted geometric (IFRFWG), IF rough Frank ordered weighted geometric (IFRFOWG), and IF rough Frank hybrid geometric (IFRFHG) on the basis of Frank t-norm and Frank t-conorm. Information is given for the basic favorable features of the analyzed operator. For the suggested operators, a new score and precision functions are described. Then, using the suggested method, the IFRF-EDAS method for MCGDM and its stepwise methodology are shown. After this, a numerical example is given for the established model, and a comparative analysis is generally articulated for the investigated models with some previous techniques, showing that the investigated models are much more efficient and useful than the previous techniques.

A new integrated multi-attribute decision-making approach for mobile medical app evaluation under q-rung orthopair fuzzy environment

“…As future research, we will analyze the application of the proposed method to above actual MADM problems. In addition, possible combinations between the Zhenyuan integral and other assessment expression models, such as the spherical fuzzy sets (Rayappan & Krishnaswamy, 2020), neutrosophic structured elements sets (Edalatpanah, 2020), linguistic q-ROFSs , complex q-rung picture fuzzy sets , linguistic intuitionistic cubic hesitant sets (Qiyas et al 2021), intuitionistic fuzzy rough sets (Yahya et al, 2021), and probabilistic hesitant fuzzy sets (Naeem et al, 2021), to deal with various kinds of problems would be worth investigating.…”

TOPSIS approach for MCGDM based on intuitionistic fuzzy rough Dombi aggregation operations

“…The TOPSIS method is one of the most significant technique to cope MCDM problems, in which the target is to get the optimal object having highest score value known as PIS and the object with the least score value is known as NIF. To present the ability and resilience of proposed approach by applying IF rough aggregation operators based on Dombi t-norms and t-conorms hybrid with TOPSIS method, we made a comparison of the investigated concept with several previous models in literature such as IFWA operator by Xu ( 2007 ), IFWG operator by Xu and Yager ( 2006 ), IF TOPSIS method by Yinghui and Wenlu ( 2015 ), IFRWA operator by Yahya et al ( 2021 ), IFRWA and IFRWG operators based on EDAS method by Chinram et al ( 2021 ), IFDWA and IFDWG operators by Seikh and Mandal ( 2021 ). If we consider Tables 1 , 2 , 3 , and 4 , then the aggregation operators presented in Xu ( 2007 ), Xu and Yager ( 2006 ), Seikh and Mandal ( 2021 ) and Yinghui and Wenlu ( 2015 ) are not capable to aggregate the illustrative example presented in Sect.…”

Analysis of S-Box Based on Image Encryption Application Using Complex Fuzzy Credibility Frank Aggregation Operators

“…Using Frank norms a series of power aggregation operators is discussed by Xu et al [31] and their application to DMs problems under CFS information. Yahya et al [32] explained a series of aggregation operators on the basis of Frank norms and their application to DMs problems.…”