On Q-rationality of Fuzzy Choice Functions on Base Domains

Article type: Research Article

Authors: Desai, Santosh S.^{a; *} | Chaudhari, Shrikant R.^b

Affiliations: [a] Department of Applied Sciences, Tatyasaheb Kore Institute of Engineering and Technology, Warananagar, Kolhapur (M.S)-416113 India. santosh_desai21@rediffmail.com | [b] Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon (M.S.)-425001 India. shrikant_chaudhari@yahoo.com

Correspondence: [*] Address for correspondence: Department of Applied Sciences, Tatyasaheb Kore Institute of Engineering and Technology, Warananagar, Kolhapur (M.S)-416113 India.

Abstract: Many researchers have studied the rationality of fuzzy choice functions with transitive rationalization. However, not much is known when transitivity is weakened to quasi-transitivity or any other weaker property of the preference relation. In the present paper we study the rationality of fuzzy choice functions with quasi-transitive rationalization for the domains that contain characteristic functions of all single and two element subsets of the universal set.

Keywords: Fuzzy choice function, Base domain, Fuzzy Q- and D-congruence axiom, Sen’s quasi condition, Q-rational fuzzy choice functions

DOI: 10.3233/FI-2015-1229

Journal: Fundamenta Informaticae, vol. 139, no. 2, pp. 127-151, 2015