Bibliographic Details
| Title: |
On Kemeny Optimization Scheme for Fuzzy Set of Relations |
| Authors: |
Serhii O. Mashchenko, Olena A. Kapustian, Bruno Rubino |
| Source: |
Axioms, Vol 12, Iss 12, p 1067 (2023) |
| Publisher Information: |
MDPI AG, 2023. |
| Publication Year: |
2023 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
Kemeny distance, group decision-making problem, fuzzy preference relation, Type-2 fuzzy relation, Mathematics, QA1-939 |
| More Details: |
The present paper investigated the aggregation of individual preferences into a group fuzzy preference relation for a fuzzy set of decision-makers (DMs). This aggregation is based on the Kemeny optimization scheme. It was proven that this group relation is a Type-2 fuzzy relation (T2FR). The decomposition approach was used to analyze the group T2FR. It is shown that the group T2FR can be decomposed according to secondary membership grades into a finite collection of Type-1 fuzzy relations. Each of them is a group fuzzy relation for a crisp set of DMs, which is the corresponding α-cut of the original fuzzy set of DMs. Illustrative examples are given. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2075-1680 |
| Relation: |
https://www.mdpi.com/2075-1680/12/12/1067; https://doaj.org/toc/2075-1680 |
| DOI: |
10.3390/axioms12121067 |
| Access URL: |
https://doaj.org/article/81a78dc7c2d24bf68cdc6f6b980c3525 |
| Accession Number: |
edsdoj.81a78dc7c2d24bf68cdc6f6b980c3525 |
| Database: |
Directory of Open Access Journals |
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