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Measurement-theoretic frameworks for fuzzy set theory [PDF]
, 1997 Two different but related measurement problems are considered within the fuzzy set theory. The first problem is the membership measurement find the second is property ranking. These two measurement problems are combined and two axiomatizations of fuzzy set theory are obtained.
Taner Bilgiç, I. Burhan Türksen
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Mathematics, 2020 As the extension of the fuzzy sets (FSs) theory, the intuitionistic fuzzy sets (IFSs) play an important role in handling the uncertainty under the uncertain environments.
Qianli Zhou, Hongming Mo, Yong Deng
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Alexandria Engineering Journal, 2023 Under uncertainty, the analytical behaviour of fractional partial differential equations is frequently puzzling and challenging to predict. Therefore, in order to address these problems, it is essential to create a proper, extensive, and highly effective
Muhammad Nadeem +3 more
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Synthetic Emotions for Empathic Building
Mathematics, 2021 Empathic buildings are intelligent ones that aim to measure and execute the best user experience. A smoother and intuitive environment leads to a better mood. The system gathers data from sensors that measure things like air quality, occupancy, noise and
Jose L. Salmeron, Antonio Ruiz-Celma
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A Theory for Measuring the Preference of Fuzzy Numbers
2020 IEEE 20th International Symposium on Computational Intelligence and Informatics (CINTI), 2020 Here, sigmoid function-based preference measures for intervals and fuzzy numbers are introduced, and their main properties are outlined. Also, formulas for the numerical computation of the proposed preference measures are presented. Next, it is demonstrated that the proposed preference measures for intervals and fuzzy numbers are asymptotically the ...
Dombi József, Jónás Tamás
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Research on Evidence Theory Model of Hesitant Fuzzy Information Over Two Universes
Journal of Harbin University of Science and TechnologyAiming at the computational complexity of generalized two-universe hesitant fuzzy rough set in dealing with complex hesitant information multi-attribute decision making, this paper deeply studies the description and construction of two-universe hesitant ...
MAO Yixuan, WANG Qinghai
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Mathematics, 2020 Complex fuzzy theory has strong practical background in many important applications, especially in decision-making support systems. Recently, the Mamdani Complex Fuzzy Inference System (M-CFIS) has been introduced as an effective tool for handling events
Tran Manh Tuan +6 more
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A Measurement Theory Characterization of a Class of Dissimilarity Measures for Fuzzy Description Profiles [PDF]
, 2020 We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement theory, we characterize dissimilarity relations agreeing with a particular class of fuzzy dissimilarity measures. Dissimilarity measures in the considered class are those only depending on the attribute-wise distance of fuzzy description ...
Giulianella Coletti +2 more
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THE LINEARITY OF THE EXPECTED VALUE OF A FUZZY VARIABLE
BarekengIn this research, we introduce a novel credibility measure defined as a non-empty set satisfying the axioms of normality, monotonicity, self-duality, and maximality.
Uvi Dwian Kencono, Indarsih - Indarsih
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International Journal of Computational Intelligence Systems, 2016 In this paper, we propose new methods to represent interdependence among alternative attributes and experts’ opinions by constructing Choquet integral using interval-valued intuitionistic fuzzy numbers.
Jindong Qin, Xinwang Liu, Witold Pedrycz
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