A fuzzy weak ordering is a fuzzy preordering in which x ≠ y μ s(x,y) > 0 or μ s(y,x) > 0. Various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, an extended version of Szpilrajn's theorem is proved....
A fuzzy preordering is a fuzzy ordering which is reflexive. A fuzzy weak ordering is a fuzzy preordering in which x ≠ y ⇒ μs(x,y) > 0 or μs(y,x) > 0. Various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, an extended version...
Fuzzy Sets and Systems (1991) L.A. Zadeh Similarity relations and fuzzy orderings Information Sciences (1971) A. Aamodt et al. Case-based reasoning: foundational issues, methodological variations, and system approaches Artificial Intelligence Communications (1994) B.P. Allen Case-based reasoning: bu...
Similarity Relations In this chapter, we discuss a special type of fuzzy relations, called similarity relations. They play an important role in interpreting fuzzy controllers a... R Kruse,S Mostaghim,C Borgelt,... 被引量: 0发表: 2022年 Similarity relations and fuzzy orderings The notion of...
A fuzzy equivalence relation (with respect to the conjunction operation∗, here, a t-norm) on the setUis a mappingE:U×U→ [0,1] satisfying MathML where [0,1] is the unit interval with the usual ordering. Sometimes,Eis also called a similarity relation [1]. Contextually, some defini...
This paper aims to develop distance and similarity measures for (p, q)-fuzzy sets from t-norms and t-conorms. It showcases a way to generate these
Fuzzy sets. Information and control , vol. 8 (1965), pp. 338–353. Zadeh L. A.. Similarity relations and fuzzy orderings. Information sciences , ... J Goguen - 《Journal of Symbolic Logic》 被引量: 0发表: 1973年 A new approach to fuzzy-neural modeling Fuzzy sets. Information and co...
Uncertainty Management with Fuzzy and Rough Sets Daryl H. Hepting, Hadeel Hatim Bin Amer& Yiyu Yao Part of the book series:Studies in Fuzziness and Soft Computing((STUDFUZZ,volume 377)) 401Accesses Abstract A fundamental task in the sorting of facial photographs is the modelling of pairwise ...
The q-rung orthopair linguistic set (q-ROLS), a combined version of linguistic term sets and q-rung orthopair fuzzy set, is an efficient mathematical tool to accomplish the imprecise information while solving the decision-making problems. Under this environment, we propose additional operations and...
Information and Control (1985) L.A. Zadeh Similarity relations and fuzzy orderings Information Sciences (1971) D. Aumueller, H. Do, S. Massmann, E. Rahm, Schema and ontology matching with COMA++, in: Proceedings of the 2005 ACM... C. Biemann Ontology learning from text: a survey of...