Fuzzy topological spaces
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.read more
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Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
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A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
A. De Luca,Settimo Termini +1 more
TL;DR: A functional defined on the class of generalized characteristic functions (fuzzy sets), called “entropy≓, is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets.
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Fuzzy metrics and statistical metric spaces
Ivan Kramosil,Jiří Michálek +1 more
TL;DR: The aim of this paper is to apply the concept of fuzziness to the clasical notions of metric and metric spaces and to compare the obtained notions with those resulting from some other, namely probabilistic statistical, generalizations of metric spaces.
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Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence
Pu Pao-Ming,Liu Ying-Ming +1 more
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Description and optimization of fuzzy systems
TL;DR: Fuzzy set theory is applied to fuzzy linear programming problems and it is shown how fuzzylinear programming problems can be solved without increasing the computational effort.
References
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L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].