Results 1 to 10 of about 24,615 (117)
CoRR, 2021 In this work we propose a formal system for fuzzy algebraic reasoning. The sequent calculus we define is based on two kinds of propositions, capturing equality and existence of terms as members of a fuzzy set. We provide a sound semantics for this calculus and show that there is a notion of free model for any theory in this system, allowing us (with ...
Davide Castelnovo, Marino Miculan
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Fuzzy Sets and Systems, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Libor Behounek, Petr Cintula
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International Journal of Theoretical Physics, 2002 The existence of a joint observable of a finite family of observables (with values in a space of fuzzy sets) was proved by \textit{S. Gudder} [Demonstr. Math. 31, 235--254 (1998; Zbl 0952.60002); Found. Phys. 30, 1663--1678 (2000)]. The authors generalize this result to infinite families of observables.
Habil, Eissa D., Nasr, Taghreed Z
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Fuzzy Set Theory and Topos Theory [PDF]
Canadian Mathematical Bulletin, 1986 AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
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STRING THEORY AND THE FUZZY TORUS [PDF]
International Journal of Modern Physics A, 2004 We outline a brief description of noncommutative geometry and present some applications in string theory. We use the fuzzy torus as our guiding example.
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Demonstratio Mathematica, 1998 Probability theory is usually based on a probability space \((\Omega, {\mathcal A},P)\) where the sets \(A\in{\mathcal A}\), resp., the indicator functions \(I_A\), are interpreted as events and the measurable maps \(\widehat X: \Omega\to \mathbb{R}\), i.e., the random variables, as observable quantities.
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Fuzzy Soft Multiset Theory [PDF]
Abstract and Applied Analysis, 2012 In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov′s soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study
Alkhazaleh, Shawkat, Salleh, Abdul Razak
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Fuzzy sets and decision theory
Information and Control, 1973 The problem of making decisions to classify the objects of a certain universe into two or more suitable classes has been considered in the setting of fuzzy sets theory. A measure of the total amount of uncertainty that arises in making decisions has been proposed in the general case.
R. CAPOCELLI, DE LUCA, ALDO
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A fuzzy theory refinement algorithm
International Journal of Approximate Reasoning, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio González Muñoz, Raúl Pérez
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Fuzzy Number, Fuzzy Difference, Fuzzy Differential: Theory and Applications
AxiomsThis Topic Issue comprises sixteen pioneering academic papers that delve deeply into the realm of fuzzy reasoning, optimization, decision making, and control [...]
Changyou Wang, Dong Qiu, Yonghong Shen
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