Results 11 to 20 of about 1,452,486 (168)
Negation in Negationless Intuitionistic Mathematics
AbstractThe mathematician G.F.C. Griss is known for his program of negationless intuitionistic mathematics. Although Griss’s rejection of negation is regarded as characteristic of his philosophy, this is a consequence of an executability requirement that mental constructions presuppose agents’ executing corresponding mental activity.
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Intuitionistic fuzzy lattice ordered G-modules [PDF]
The investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuine circumstances, individuals face equivocalness, ambiguity, imprecision, and so forth.
Poonam Sharma
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Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity.
Mudassir Shams +4 more
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Ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs) is an important task for solving real-life Decision-Making problems. It is a potential area of research that has attracted the researchers working in fuzzy mathematics.
Jeevaraj Selvaraj, Abhijit Majumdar
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A brief note on intuitionistic fuzzy operators [PDF]
The research on intuitionistic fuzzy sets gives an extra dimension in mathematics. It has been observed that some operators including the modal operators have very interesting properties in intuitionistic fuzzy sets.
Jaydip Bhattacharya
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On Various Negative Translations [PDF]
Several proof translations of classical mathematics into intuitionistic mathematics have been proposed in the literature over the past century. These are normally referred to as negative translations or double-negation translations. Among those, the most
Gilda Ferreira, Paulo Oliva
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A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Connectedness of the continuum in intuitionistic mathematics [PDF]
AbstractWorking in (Intuitionistic analysis) we prove a strong, constructive connectedness property of the continuum: for any non‐empty sets, A and B, if then is non‐empty. It is well known that the intuitionistic continuum is indecomposable: if and then or , but this property is essentially negative—equivalent to if A, B are non‐empty and then .
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ON WEIHRAUCH REDUCIBILITY AND INTUITIONISTIC REVERSE MATHEMATICS [PDF]
AbstractWe show that there is a strong connection between Weihrauch reducibility on one hand, and provability in EL0, the intuitionistic version of RCA0, on the other hand. More precisely, we show that Weihrauch reducibility to the composition of finitely many instances of a theorem is captured by provability in EL0 together with Markov’s principle ...
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Some geometrical methods for constructing contradiction measures on Atanassov's intuitionistic fuzzy sets [PDF]
Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen +5 more
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