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 of Szpilrajn's theorem is proved.L.A.ZadehSDOSInformation Sciences
Similarity relations and fuzzy orderings Inf. Sci. (1971) L. Valverde On the structure of F-indistinguishability operators Fuzzy Sets and Systems (1985) E.D. Übeyli et al. Automatic detection of erythemato-squamous diseases using adaptive neuro-fuzzy inference systems Comput. Biol. Med. (...
The appropriateness of the concepts introduced in this paper is underlined by theoretical results and examples. We observe that the strongest results are achieved if the underlying triangular norm induces an involutive residual negation. Keywords: Fuzzy equivalence relations fuzzy orderings fuzzy relations...
The two basic inference rules considered for approximate reasoning based on fuzzy sets and fuzzy relations are the compositional rule of inference and the generalised modus ponens. 1. max- mincomposition. From ‘X is A’ and ‘ (X, Y) is R’ infer ‘Y is B’, where μ B (y)= ma...
It suggests various similarity and distance measures for (p,q)-fuzzy sets using t-norms and t-conorms, respectively. It employs the suggested similarity and distance measures in a pattern recognition problem related to medical diagnosis.
In Section 2, the fuzzy similarity relations between fuzzy numbers, fuzzy entropy measures, the OWA operator, multidistances, and total ordering of fuzzy numbers are introduced. Section 3 is devoted to the description of the new approach to fuzzy TOPSIS based on fuzzy similarity, multidistances, ...
of scientific and technical input for the promotion of economic growth. Key !ords:fuzzy similarity ordering analysis!economic growth!science and technology input 明显!基础研究注重实验性与理论性"在很大程度上能提 高自主创新能力"从而增强经济竞争力!应用研究则是为 了确定基础研究成果可能的用途"或是为达到...
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...
Ranked Relations: Query Languages and Query Processing Methods for Multimedia In this paper, we describe the notion of a ranked relation that incorporates to the relational data model the notion of rank, i.e. ordering among tuples or... S Adali,C Bufi,ML Sapino - 《Multimedia Tools & Appl...
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...