Maxima and Minima in Fuzzified Linear Orderings

Authors: Libor Běhounek
Publication year: 2016
Publication type: Článek v odborném periodiku
Periodical: Fuzzy Sets and Systems
Projects: Logic-based fuzzy mathematics
Bibliographic citation: BĚHOUNEK, Libor. Maxima and Minima in Fuzzified Linear Orderings. Fuzzy Sets and Systems. 2016, 289(15 April), 82-93. ISSN 0165-0114. E-ISSN 1872-6801
Dostupné z: doi:10.1016/j.fss.2015.02.010
DOI: 10.1016/j.fss.2015.02.010
ID: 457495

Abstract

The paper studies the notions of fuzzy maxima, minima, suprema, and infima in the setting of fuzzified linear orderings. The main result shows that in fuzzified linear orders satisfying certain reasonable assumptions, the fuzzy maxima and minima of all non-empty fuzzy sets are non-empty.