Overcoming the Crispness of Fuzzy Orderings
نویسنده
چکیده
This contribution, rstly, motivates the need for a new, indistin-guishability-based approach to fuzzy orderings 1]. The main part is devoted to the basic theory, especially constructions, representations, and properties of hulls. Moreover, a general approach to orderings of fuzzy sets is presented. The current work, however, already concentrates on applications in fuzzy control and decision making.
منابع مشابه
Aggregation Operators for Conditional Crispness
In axiomatic way, in fuzzy setting, we introduce the measure of crispness and the measure of conditional clearness. For these measures we propose a functional form. Then, for the last measure, we give some aggregation operators. Keywords— Aggregation operators, functional equations, fuzzy sets, measures of fuzziness, crispness measures, conditional crispness.
متن کاملStrict Fuzzy Orderings in a Similarity-Based Setting
This paper introduces and justifies a similaritybased concept of strict fuzzy orderings and provides constructions how fuzzy orderings can be transformed into strict fuzzy orderings and vice versa. We demonstrate that there is a meaningful correspondence between fuzzy orderings and strict fuzzy orderings. Unlike the classical case, however, we do not obtain a general one-to-one correspondence. ...
متن کاملSimilarity-Based Fuzzy Orderings: Recent Advances
Fuzzy orderings with reference to an underlying context of similarity were first defined by Höhle and Blanchard [9]. Since then, several authors have contributed to the development of this class of fuzzy relations, both from the theoretical and the practical side (e.g. [1–4, 7, 8]). Two problems remained open throughout several years: how to define strict fuzzy orderings and how to define lexic...
متن کاملApplications of Fuzzy Orderings: An Overview
This contribution aims at the dissemination of a similarity-based generalization of fuzzy orderings, however, not from a purely theoretical perspective, but from the viewpoint of possible practical applications. After a short motivation of similarity-based fuzzy orderings, we consider four case studies with the aim to illustrate the application potential of fuzzy orderings—flexible query answer...
متن کاملOn strict lower and upper sections of fuzzy orderings
Strict lower sections, strict upper sections and open order intervals (strict order intervals) are classical 9 notions associated to crisp orderings (crisp total preorders). In this paper, we extend these notions to fuzzy orderings. We determine all the fuzzy orderings (they contain all the crisp orderings) which make it possible 11 to compare two fuzzy strict lower sections and two fuzzy stric...
متن کامل