New results on the measures of transitivity

Article type: Research Article

Authors: Rehmana, Atiq-ur^a | Ashraf, Samina^{b; *} | Qayyum, Madiha^a

Affiliations: [a] Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan | [b] Quality Enhancement cell, Lahore College for Women University Lahore, Punjab, Pakistan

Correspondence: [*] Corresponding author. Samina Ashraf, Director, Quality Enhancement cell, Lahore College for Women University Lahore, Punjab, Pakistan. E-mail: [email protected].

Abstract: In this paper, we present some new results in the form of inequalities connecting transitivity of the given fuzzy preference relation with its consistent behaviour. The additive and multiplicative generators of t-norms and t-conorms play the key role in establishing these results.

Keywords: Fuzzy relation, Triangular norm, Triangular conorm, T-transitivity, S-transitivity, Implication

DOI: 10.3233/JIFS-18850

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3825-3832, 2019