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Fuzzy number

About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.


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Journal ArticleDOI
TL;DR: Past work on fuzzy geometric concepts, which include connectedness, adjacency and surroundedness, starshapedness and convexity, area and perimeter, extent and diameter are summarized and some new results are included.

361 citations

Journal ArticleDOI
TL;DR: An efficient centroid type-reduction strategy for general type-2 fuzzy set that usually needs only several resolution of @a value such that the defuzzified value converges to a real value.

361 citations

Journal ArticleDOI
TL;DR: It is shown that, if there is a certain relation between two measurable functions, then the Choquet integral is additive for these two functions.

360 citations

Journal ArticleDOI
TL;DR: A closeness index-based Pythagorean fuzzy QUALIFLEX method is developed to address hierarchical multicriteria decision making problems within Pythagorian fuzzy environment based on PFNs and IVPFNs and can deal effectively with the hierarchal structure of criteria.

360 citations

Journal ArticleDOI
TL;DR: Stability theorems for a discrete-time system as well as for a continuous time system are given and a brief survey on the stability issues of fuzzy control systems is given.
Abstract: Addresses the issue of stability of a fuzzy system described by fuzzy rules with singleton consequents. It first presents two canonical forms of a fuzzy system: a parametric expression and a state-space expression. A fuzzy system with singleton consequents is found to be a piecewise-polytopic-affine system. Then the paper gives stability theorems for a discrete-time system as well as for a continuous time system. It also gives a brief survey on the stability issues of fuzzy control systems.

359 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023202
2022446
2021696
2020649
2019653
2018733