2016/10/25 by Peng He, He, Peng, Xue-ping Wang +1
Computer Science · Decision Sciences · #03B52 #03E72 #06A15 #Advanced Algebra and Logic #FOS: Computer and information sciences #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO) #Logic in Computer Science (cs.LO) #Multi-Criteria Decision Making
paper · pdf · doi:10.48550/arxiv.1610.09305
openalex publication_date 2016/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper deals with conditions under which the quotient of L-fuzzy up-sets forms a complete lattice by using terminologies of closure operators. It first gives a condition that a family of some subsets of a nonempty set can be represented by L-fuzzy up-sets, which is then used to formulate a necessary and sufficient condition under which the quotient of L-fuzzy up-sets forms a complete lattice. This paper finally shows that the quotient of a kind of L-fuzzy up-sets is isomorphic to an interval generated by an L-fuzzy up-set.