Abstract
There exists a variety of transitivity notions in the literature to eliminate the possible inconsistency adherent to a fuzzy preference relation in ranking fuzzy quantities or alternatives. The relationships among max-min transitivity, restricted max-min transitivity, quasitransitivity, weak transitivity, consistency and acyclicity are investigated. We point out that max-min transitivity and ω-transitivity are very strong restrictions on a fuzzy preference relation, and acyclicity is the weakest one. With a certain transitivity condition, an ordering procedure is suggested to obtain a total order relation among fuzzy quantities or alternatives based on a fuzzy preference relation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
