The Interval-Valued Intuitionistic Fuzzy MULTIMOORA Method for Group Decision Making in Engineering

Abstract

Multiple criteria decision making methods have received different extensions under the uncertain environment in recent years. The aim of the current research is to extend the application of the MULTIMOORA method (Multiobjective Optimization by Ratio Analysis plus Full Multiplicative Form) for group decision making in the uncertain environment. Taking into account the advantages of IVIFS (interval-valued intuitionistic fuzzy sets) in handling the problem of uncertainty, the development of the interval-valued intuitionistic fuzzy MULTIMOORA (IVIF-MULTIMOORA) method for group decision making is considered in the paper. Two numerical examples of real-world civil engineering problems are presented, and ranking of the alternatives based on the suggested method is described. The results are then compared to the rankings yielded by some other methods of decision making with IVIF information. The comparison has shown the conformity of the proposed IVIF-MULTIMOORA method with other approaches. The proposed algorithm is favorable because of the abilities of IVIFS to be used for imagination of uncertainty and the MULTIMOORA method to consider three different viewpoints in analyzing engineering decision alternatives.

Ranking and selecting the best performance appraisal method using the MULTIMOORA approach integrated Shannon’s entropy

“…Liu et al (2015) presented a novel hybrid MCDM model by integrating the 2-tuple DEMATEL (Decision-Making Trial and Evaluation Laboratory) technique and fuzzy MULTIMOORA method for the selection of health-care waste (HCW) treatment alternatives. Zavadskas et al (2015) proposed an IVIF-MULTIMOORA for group decision making in real-world civil engineering problems. Hafezalkotob and Hafezalkotob (2015a) utilized the MULTIMOORA approach with target-based attributes in a materials selection in a biomedical application.…”

WEBIRA - Comparative Analysis of Weight Balancing Method

“…To improve the accuracy of weighted sum and weighted product models (WSM and WPM), in [18] the Weighted Aggregated Sum Product Assessment (WASPAS) method was applied as an aggregation operator on WSM and WPM. In the paper [19], an extended version WASPAS-IVIF method is proposed which can be applied in uncertain decision making environment. In [20] authors revealed that MCDM methods work fairly well in estimating the number of clusters in a data set.…”

Interval‐Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy

“…Based on the arithmetic aggregation methods [20][21][22][23][24][25][26][27], Xu [28] and Xu and Yager [29] investigated several new intuitionistic fuzzy arithmetic aggregation operators and intuitionistic fuzzy geometric aggregation operators. Wei et al [30] proposed some intervalvalued hesitant fuzzy aggregation operators: interval-valued 2 Mathematical Problems in Engineering hesitant fuzzy weighted averaging (IVHFWA) operator, interval-valued hesitant fuzzy ordered weighted averaging (IVHFOWA) operator, interval-valued hesitant fuzzy weighted geometric (IVHFWG) operator, interval-valued hesitant fuzzy ordered weighted geometric (IVHFOWG) operator, interval-valued hesitant fuzzy power aggregation operators, interval-valued hesitant fuzzy prioritized weighted average (IVHFPWA) operator, and interval-valued hesitant fuzzy prioritized weighted geometric (IVHFPWG) operator.…”