Paper Info
Title
Pythagorean Linguistic Preference Relations And Their Applications To Group Decision Making Using Group Recommendations Based On Consistency Matrices And Feedback Mechanism
Abstract
In this paper, we introduce a new type of fuzzy set, called Pythagorean linguistic sets (PLSs), to address the preferred and nonpreferred degrees of linguistic variables. Moreover, it allows decision makers to offer effectively handle uncertain information more flexible than intuitionistic linguistic sets (ILSs) when one compares two alternatives in the process of decision making. Some of the fundamental operational laws, score, accuracy, and aggregation operators are defined, and their properties are investigated. Preference relation (PR) is a useful and efficient tool for decision making that only requires the decision makers to compare two alternatives at one time. Taking the advantages of PLSs and PRs, this paper also introduces Pythagorean linguistic preference relations (PLPRs) and studies their application. We propose an approach for group decision making using group recommendations based on consistency matrices and feedback mechanism. First, the proposed method constructs the collective consistency matrix, the weight collective PRs, and the group collective PRs. Then, it constructs a consensus relation for each expert and determines the group consensus degree (GCD) for all experts. If the GCD is smaller than a predefined threshold value, then a feedback mechanism is activated to update the PLPRs. Finally, after the GCD is greater than or equal to the predefined threshold value, we calculate the arithmetic mathematical average values of the updated group collective PR to select the most appropriate alternative.
Year
DOI
Venue
2020
10.1002/int.22226
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Keywords
DocType
Volume
group decision making, linguistic sets, Pythagorean fuzzy sets, Pythagorean linguistic preference relations, Pythagorean linguistic sets
Journal
35
Issue
ISSN
Citations 
5
0884-8173
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Prasenjit Mandal182.79
Sovan Samanta214116.91
Madhumangal Pal347160.52
A. S. Ranadive481.78