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Type-2 fuzzy entropy sets [PDF]

open access: yesIEEE Transactions on Fuzzy Systems, 2017
The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with Type-2 Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set. However, the construction of the notion of entropy measure on an infinite set, such us [0, 1], is not effortless.
De Miguel, L   +6 more
openaire   +7 more sources

Entanglement entropy on fuzzy spaces [PDF]

open access: yesPhysical Review D, 2006
We study the entanglement entropy of a scalar filed in 2+1 spacetime where space is modeled by a fuzzy sphere and a fuzzy disc. In both models we evaluate numerically the resulting entropies and find that they are proportional to the number of boundary degrees of freedom. In the Moyal plan limit of the fuzzy disc the entanglement entropy per unit area (
Dou, Djamel, Ydri, Badis
openaire   +6 more sources

Multi-criteria decision-making problem based on the novel probabilistic hesitant fuzzy entropy and TODIM method

open access: yesAlexandria Engineering Journal, 2023
The probabilistic hesitant fuzzy sets (P-HFSs) allow experts to express their preferences regarding different membership degrees with probabilistic information.
Guangfen Yang, Min Ren, Xiumei Hao
doaj   +1 more source

Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets

open access: yesJournal of Mathematics, 2022
Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of
Bicheng Yu   +4 more
doaj   +1 more source

New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis

open access: yesEntropy, 2021
The purpose of this paper is to propose a new Pythagorean fuzzy entropy for Pythagorean fuzzy sets, which is a continuation of the Pythagorean fuzzy entropy of intuitionistic sets. The Pythagorean fuzzy set continues the intuitionistic fuzzy set with the
Neeraj Gandotra   +7 more
doaj   +1 more source

New Entropy, Similarity Measure of Intuitionistic Fuzzy Sets and their Applications in Group Decision Making [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2013
In this paper, we propose a new entropy measure with geometrical interpretation of intuitionistic fuzzy sets. Compared with the entropy measure provided by Szmidt and Kacprzyk, the new entropy formula in this paper can measure both fuzziness and ...
Xia Liang, Cuiping Wei, Meimei Xia
doaj   +1 more source

ENTROPY OF DISCRETE FUZZY MEASURES [PDF]

open access: yesInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2000
The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties.
Marichal, Jean-Luc, Roubens, Marc
openaire   +4 more sources

AN IMPROVED METHODOLOGY FOR MULTI-CRITERIA EVALUATIONS IN THE SHIPPING INDUSTRY

open access: yesBrodogradnja, 2016
This paper presents a reliable, easy and more objective approach for ranking and determining preference in a multi-criteria decision-making problem within the shipping industry.
Daniel Osezua Aikhuele   +1 more
doaj   +1 more source

Logical Entropy of Fuzzy Dynamical Systems

open access: yesEntropy, 2016
Recently the logical entropy was suggested by D. Ellerman (2013) as a new information measure. The present paper deals with studying logical entropy and logical mutual information and their properties in a fuzzy probability space.
Dagmar Markechová, Beloslav Riečan
doaj   +1 more source

Relations among similarity measure, subsethood measure and fuzzy entropy [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2013
In this paper we study the relations among similarity measure, subsethood measure and fuzzy entropy and present several propositions that similarity measure, subsethood measure and fuzzy entropy can be transformed by each other based on their axiomatic ...
Yingfang Li, Keyun Qin, Xingxing He
doaj   +1 more source

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