Topic
Membership function
About: Membership function is a research topic. Over the lifetime, 15795 publications have been published within this topic receiving 418366 citations.
Papers published on a yearly basis
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TL;DR: A fuzzy importance index is proposed to demonstrate the contribution of a basic event to the safety improvement of the top event in a fuzzy environment.
84 citations
TL;DR: A general type of entropies is introduced (in the sense of De Luca and Termini) for finite fuzzy sets and its properties for the case of the so-called θ- ∗Entropies, which generalize both the logarithmic entropy, and Sugeno's fuzzy integral for finite sets.
84 citations
TL;DR: The notion termed a ldquonon Stationary fuzzy setrdquo is introduced, and the concept of a perturbation function that is used for generating nonstationary fuzzy sets is presented.
Abstract: In this paper, the notion termed a ldquononstationary fuzzy setrdquo is introduced, and the concept of a perturbation function that is used for generating nonstationary fuzzy sets is presented. Definitions of the basic set operators (the union, the intersection, and the complement) for nonstationary fuzzy sets are given, together with proofs of selected properties of these operators. Two case studies were carried out in order to illustrate the use of nonstationary fuzzy sets in a nonstationary fuzzy inference, and to provide an initial insight into the relationships between nonstationary and interval type-2 fuzzy sets.
83 citations
TL;DR: The procedures here will allow to set up linear matrix inequality conditions which are less conservative than the cited ones, by exploiting the TP structure of the membership functions.
83 citations
TL;DR: It is found that the inequalities of Euclidean distances and normalized Euclideans distances for intuitionistic fuzzy sets are not valid.
83 citations