Results 21 to 30 of about 2,777,509 (201)

REPRESENTABILITY IN INTERVAL-VALUED FUZZY SET THEORY [PDF]

open access: yesInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2007
Interval-valued fuzzy set theory is an increasingly popular extension of fuzzy set theory where traditional [0,1]-valued membership degrees are replaced by intervals in [0,1] that approximate the (unknown) membership degrees. To construct suitable graded logical connectives in this extended setting, it is both natural and appropriate to "reuse ...
Glad Deschrijver, Chris Cornelis
openaire   +1 more source

The Relationship between Fuzzy Reasoning Methods Based on Intuitionistic Fuzzy Sets and Interval-Valued Fuzzy Sets

open access: yesAxioms, 2022
Two important basic inference models of fuzzy reasoning are Fuzzy Modus Ponens (FMP) and Fuzzy Modus Tollens (FMT). In order to solve FMP and FMT problems, the full implication triple I algorithm, the reverse triple I algorithm and the Subsethood ...
Minxia Luo, Wenling Li, Hongyan Shi
doaj   +1 more source

A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]

open access: yes, 2010
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
core   +1 more source

Interval-valued Level Cut Sets of Fuzzy Set [PDF]

open access: yesFuzzy Information and Engineering, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan, Xue-Hai   +2 more
openaire   +1 more source

Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders [PDF]

open access: yes, 2019
In this work we study a new class of similarity measures between interval-valued fuzzy sets. The novelty of our approach lays, firstly, on the fact that we develop all the notions with respect to total orders of intervals; and secondly, on that we ...
Marco-Detchart, C.   +5 more
core   +1 more source

On Some Nonclassical Algebraic Properties of Interval-Valued Fuzzy Soft Sets

open access: yesThe Scientific World Journal, 2014
Interval-valued fuzzy soft sets realize a hybrid soft computing model in a general framework. Both Molodtsov’s soft sets and interval-valued fuzzy sets can be seen as special cases of interval-valued fuzzy soft sets.
Xiaoyan Liu, Feng Feng, Hui Zhang
doaj   +1 more source

On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups

open access: yesAdvances in Fuzzy Systems, 2022
The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated.
Pongpun Julatha, Aiyared Iampan
doaj   +1 more source

INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES [PDF]

open access: yesHonam Mathematical Journal, 2009
We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.
Won-Keun Min   +2 more
openaire   +1 more source

Interpretable Monotonicities for Entropies of Intuitionistic Fuzzy Sets or Interval-valued Fuzzy Sets [PDF]

open access: yesAtlantis Studies in Uncertainty Modelling, 2021
Monotonicity is a major property of entropy measures. In this paper, we focus on entropy measures for intuitionistic fuzzy sets and interval-valued fuzzy sets. We consider their polar representation which provides an easy interpretation of monotonicity for several entropy measures introduced in the literature.
Marsala, Christophe   +1 more
openaire   +3 more sources

Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications

open access: yesCumhuriyet Science Journal, 2019
In recent years, the fuzzy sets, interval-valued fuzzysets, intuitionistic fuzzy sets and soft sets, which offer differentperspectives for the structures containing the uncertainties, have attractedthe interest of many researchers.
Hüseyin Kamacı
doaj   +1 more source

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