Fuzzy Sets, Fuzzy Logic, Fuzzy Methods with Applications.

The first significant real-life applications of fuzzy set theory and fuzzy logic began to appear in the late seventies and early eighties. Among such applications were fuzzy logic-controlled cement kilns and production of steel. The first consumer product was Matsushita’s shower head, 1986. Soon, many others followed, among them home.

Fuzzy decision-making is a decision process using the sets whose boundaries are not sharply defined. The aim of this paper is to show how fuzzy set theory, fuzzy decision-making and hybrid solutions based on fuzzy can be used in the various models for supplier assessment and selection in a 50 year period.

Fuzzy set theory has been used to model systems that are hard to define precisely. As a methodology, fuzzy set theory incorporates imprecision and subjectivity into the model formulation and solution process. Fuzzy set theory represents an attractive tool to aid research in production management when the dynamics of the production environment limit the specification of model objectives.

This paper investigates the use of grey theory to enhance the concept of an R-fuzzy set, with regards to the precision of the encapsulating set of returned significance values. The use of lower and upper approximations from rough set theory, allow for an R-fuzzy approach to encapsulate uncertain fuzzy membership values; both collectively generic and individually specific. The authors have.

The Fuzzy Set Theory section of Mathematics aims at disseminating and communicating fuzzy set theory driven scientific knowledge and impactful discoveries to academia, industry, and the public worldwide. The concept of a fuzzy set, on which fuzzy logic (FL) has been built, has been proven to play an important role in (1) modeling and representing imprecise and uncertain linguistic human.

Through matter-element analysis, a hierarchy, multi-index and information matter-element system was set up. Based on the fuzzy mathematics and extension theory, the fuzzy extension model of sluice safety assessment was established. The comprehensive weight method base on game theory was applied in the model. It has been used to describe.

This book can be used not only as a textbook in senior middle schools, and in vocational colleges, but also as a primer for individually learning fuzzy mathematics. Keywords Fuzziness Fuzzy Category Theory Fuzzy Control Fuzzy Mathematics Fuzzy Set Theory Fuzzy Topology.

Picture fuzzy set is an extension of the classical fuzzy set and intuitionistic fuzzy set. It can work very efficiently in uncertain scenarios which involve more answers to these type: yes, no, abstain and refusal. In this paper, we introduce the idea of the picture fuzzy graph based on the picture fuzzy relation. Some types of picture fuzzy graph such as a regular picture fuzzy graph, strong.

Research Article-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets. fuzzy set on (cf. ( )). e theory of fuzzy sets has become a vigorous area of research in di erent disciplines including medical and life sciences, management sciences, social sciences, engineering, statistics, graph theory, arti cial intelligence, pattern recog-nition, robotics, computer networks, decision making, and.

Fuzzy set qualitative comparative analysis (fsQCA) is a much later extension to QCA and is built upon the fuzzy set theory (Ragin 2008a). The introduction of fuzzy set theory dates back to the sixties with the publication of seminal articles by Zadeh (1965) and Goguen (1969). Zimmermann (2010) highlighted that the development of fuzzy set has.

The assessment of the consistency of fuzzy set relations is more interesting and more challenging than the crisp-set case. An overview of the use of fuzzy sets in social research is presented in Fuzzy-Set Social Science (Ragin 2000; see also Smithson and Verkuilen 2006). The key point for present purposes is that with fuzzy sets, cases can have.

The model is based on three main theoretical sources: the theory of complementary pairs, fuzzy-set theory, and defeasible reasoning. I examine the jurisprudential and sociological implications of the fuzzy law model in a discussion of the dialectics of reasoning with fuzzy rules and an exploration of the coordination dynamics of quasi-legal.