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Topology in the Alternative Set Theory and Rough Sets via Fuzzy Type Theory
Mathematics, 2020 In this paper, we will visit Rough Set Theory and the Alternative Set Theory (AST) and elaborate a few selected concepts of them using the means of higher-order fuzzy logic (this is usually called Fuzzy Type Theory).
Vilém Novák
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Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]
Neutrosophic Sets and Systems, 2022 An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized
Faiz Muhammad Khan +2 more
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Postmodern Fuzzy System Theory: A Deconstruction Approach Based on Kabbalah
Systems, 2014 Modern general system theory proposed a holistic integrative approach based on input-state-output dynamics as opposed to the traditional reductionist detail based approach.
Gabriel Burstein +2 more
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Cyclic connectivity index of bipolar fuzzy incidence graph
Open Chemistry, 2022 In the performance characterization of chemical molecular structures, several uncertain properties are often encountered, and fuzzy theory is precisely the tool to characterize these uncertainties.
Lu Juanjuan, Zhu Linli, Gao Wei
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Mathematics, 2023 Fuzzy set theory, introduced by Zadeh, gives an adaptable and logical solution to the provocation of introducing, evaluating, and opposing numerous sustainability scenarios.
Alina Alb Lupaş
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An information-based approach to handle various types of uncertainty in fuzzy bodies of evidence.
PLoS ONE, 2020 Fuzzy evidence theory, or fuzzy Dempster-Shafer Theory captures all three types of uncertainty, i.e. fuzziness, non-specificity, and conflict, which are usually contained in a piece of information within one framework.
Atiye Sarabi-Jamab, Babak N Araabi
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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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Some Topological and Algebraic Properties of α-level Subsets’ Topology of a Fuzzy Subset
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The theory of fuzzy sets, since its foundation, has advanced in a wide range of means and in many fields. One of the areas to which fuzzy set theory has been applied extensively is mathematical programming.
Onasanya B. O., Hoskova-Mayerova S.
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Three Decades of Neutrosophic and Plithogenic Theories with their Applications (1995 - 2024) [PDF]
Neutrosophic Sets and SystemsNeutrosophic Set is a Generalization of Intuitionist Fuzzy Set, Inconsistent Intuitionist Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set (Atanassov’s Intuitionist Fuzzy Set of second type), q-Rung Orthopair Fuzzy Set, Spherical ...
Florentin Smarandache
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Austrian Journal of Statistics, 2016 After introducing and developing fuzzy set theory, a lot of studies have been done to combine statistical methods and fuzzy set theory. Thisworks, called fuzzy statistics, have been developed in some branches. In this article we review essential works on
S. Mahmoud Taheri
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