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Axiomatic of Fuzzy Complex Numbers
Axioms, 2012 Fuzzy numbers are fuzzy subsets of the set of real numbers satisfying some additional conditions. Fuzzy numbers allow us to model very difficult uncertainties in a very easy way.
Angel Garrido
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Measurable prediction for the single patient and the results of large double blind controlled randomized trials. [PDF]
PLoS ONE, 2008 BACKGROUND: It has been shown that the clinical state of one patient can be represented by known measured variables of interest, each of which then form the element of a fuzzy set as point in the unit hypercube. We hypothesized that precise comparison of
Cathy M Helgason, Thomas H Jobe
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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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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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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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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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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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The Theory of Fuzzy Logic and its application to Real Estate Valuation [PDF]
, 1998 Fuzzy logic is based on the central idea that in fuzzy sets each element in the set can assume a value from 0 to 1, not just 0 or 1, as in classic set theory. Thus, qualitative characteristics and numerically scaled measures can exhibit gradations in the
Jamal, Janattul-Ain +7 more
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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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