Decision Making Methods Based on Fuzzy Aggregation Operators: Three Decades Review from 1986 to 2017

Abstract

In many real-life decision making (DM) situations, the available information is vague or imprecise. To adequately solve decision problems with vague or imprecise information, fuzzy set theory and aggregation operator theory have become powerful tools. In last three decades, DM theories and methods under fuzzy aggregation operator have been proposed and developed for effectively solving the DM problems and numerous applications have been reported in the literature. While various aggregation operators have been suggested and developed, there is a lack of research regarding systematic literature review and classification of study in this field. Regarding this, Web of Science database has been nominated and systematic and meta-analysis method called “PRISMA” has been proposed. Accordingly, a review of 312 published articles appearing in 33 popular journals related to fuzzy set theory, aggregation operator theory and DM approaches between July 1986 and June 2017 have been attained to reach a comprehensive review of DM methods and aggregation operator environment. Consequently, the selected published articles have been categorized by name of author(s), the publication year, technique, application area, country, research contribution and journals in which they appeared. The findings of this study found that, ordered weighted averaging (OWA) has been the highest frequently accessed more than other areas. This systematic review shows that the DM theories under fuzzy aggregation operator environment have received a great deal of interest from researchers and practitioners in many disciplines.

MCDM, operational research and sustainable development in the trans-border Lithuanian–German– Polish co-operation

“…In several papers, Prof. Zavadskas et al focused on methodological principles of the MCDM method analysis , the application of fuzzy sets (Mardani et al, 2015a), using the considered methods for solving the problems in various areas, such as determining the quality of services (Mardani et al, 2015c) and choosing suppliers (Keshavarz Ghorabaee et al, 2017a), as well as in power engineering (Mardani et al, 2015b;Mardani et al, 2017b;Siksnelyte et al, 2018), engineering , transport (Mardani et al, 2016b), sustainability , construction (Zavadskas et al, 2018a), supply chains (Soheilirad et al, 2018), etc. The principles were also used in the VIKOR method (Mardani et al, 2016a), hybrid methods Shen et al, 2018) and fuzzy aggregation operators (Mardani et al, 2018b).…”

The Location Selection for Roundabout Construction Using Rough BWM-Rough WASPAS Approach Based on a New Rough Hamy Aggregator

“…To adequately solve decision-making problems with vague or imprecise information according to Mardani et al [60], the fuzzy set theory [61] and aggregation operator theory have become powerful tools. In addition to fuzzy logic, the rough set theory [62,63] also adequately fulfills these advantages, so in this paper, a new Rough Hamy aggregator for group decision-making has been developed.…”

Civil Engineering and Symmetry

“…Fuzzy-rough sets have been applied in various fields, such as expert systems, knowledge discovery, information system, inductive reasoning, intelligent systems, data mining, pattern recognition, decision-making, and machine learning [7].Additionally, fuzzy sets have been intensively applied in decision-making problems modelled within the aggregation operator framework. Various aggregation operators under different fuzzy sets are reviewed in [8].The methodological aspects of the decision-making problems in civil engineering, concerning the combination and integration of fuzzy and probabilistic models to deal with the uncertainties, were discussed in [9].Research into the development of new MCDM methods has been directed towards hybrid MCDM approaches. The most popular hybrid MCDM methods demonstrate advantages over the traditional ones in solving complicated problems, which involve stakeholder preferences, interconnected or contradictory criteria, and uncertain environments.…”

“…Additionally, fuzzy sets have been intensively applied in decision-making problems modelled within the aggregation operator framework. Various aggregation operators under different fuzzy sets are reviewed in [8].…”