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Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets
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
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Cuilian You, Meilin Wen
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Logical Entropy of Fuzzy Dynamical Systems
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
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On Intuitionistic Fuzzy Entropy of Order-α [PDF]
Using the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic ...
Rajkumar Verma, BhuDev Sharma
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Two Classes of Entropy Measures for Complex Fuzzy Sets
Complex fuzzy sets are characterized by complex-valued membership functions, whose range is extended from the traditional fuzzy range of [0,1] to the unit circle in the complex plane.
Lvqing Bi +3 more
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Tsallis Entropy of Fuzzy Dynamical Systems
This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order q , where q is a positive real number not equal to 1, of ...
Dagmar Markechová
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Fuzzy Measures and the Entropy of Fuzzy Partitions
The author defines an entropy of a fuzzy partition and proves some basic properties of it. His aim is to get such properties which are very similar to analogous properties for the entropy of probability measures. Therefore, the consideration must be restricted to bounded-sum-union and bounded-product-intersection of fuzzy sets (only in this case a ...
Dumitrescu, D.
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New Pythagorean Entropy Measure with Application in Multi-Criteria Decision Analysis
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
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New Entropy, Similarity Measure of Intuitionistic Fuzzy Sets and their Applications in Group Decision Making [PDF]
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
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AN IMPROVED METHODOLOGY FOR MULTI-CRITERIA EVALUATIONS IN THE SHIPPING INDUSTRY
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
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