Multiperson Decision-Making Using Consistent Interval-Valued Fuzzy Information with Application in Supplier Selection

Xiaodong Yu, Atiq ur Rehman (), Samina Ashraf, Muhammad Hussain and Shahzad Faizi
Additional contact information
Xiaodong Yu: School of Computer Science, Chengdu University, Chengdu 610059, China
Atiq ur Rehman: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 53710, Pakistan
Samina Ashraf: Department of Mathematics, University of Education Bank Road Campus, Lahore 54000, Pakistan
Muhammad Hussain: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 53710, Pakistan
Shahzad Faizi: Department of Mathematics, Virtual University, Lahore 54000, Pakistan

Mathematics, 2023, vol. 11, issue 4, 1-14

Abstract: This study describes a consistency-based approach for multiperson decision-making (MPDM) in which decision-makers’ suggestions are expressed as incomplete interval-valued fuzzy preference relations. The presented approach utilizes Lukasiewicz’s t-norm in conjunction with additive reciprocity to obtain comprehensive interval valued fuzzy preference relations from each expert, and the transitive closure formula also produces L -consistency. We would evaluate the consistency weights of the experts using consistency analysis. Experts are allocated final priority weights by combining the consistency weights and preset weights. A collective consistency matrix is then constructed from the weighted sum of preference matrices. After computing the possibility degrees, the normalization procedure is utilized to generate complimentary matrices, and the final ranking values of alternatives are derived as well. Finally, a numerical example demonstrates the efficacy of the suggested approach following a comparison analysis.

Keywords: multiperson decision-making; incomplete interval valued fuzzy preference relation; L -consistency; priority weights (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/4/879/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/4/879/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:4:p:879-:d:1062874

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().