Issue:Intuitionistic fuzzy sets

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Title of paper: Intuitionistic fuzzy sets Author(s): Krassimir Atanassov CLANP-BAN, 72 Lenin Boul., 1784 Sofia, Bulgaria    (current: krat@bas.bg) Published in: Fuzzy Sets and Systems, 20 (1986) pp 87—96 Download:  PDF (1765  Kb, File info) Abstract: A definition of the concept intuitionistic fuzzy set (IFS) is given, the latter being a generalization of the concept 'fuzzy set' and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's. Keywords: Intuitionistic fuzzy set, Fuzzy set, Modal operator (necessity, possibility), Topological operator (interior, closure). References: K. Atanassov, Intuitionistic fuzzy sets, in: V. Sgurev, Bd., VII ITKR's Session, Sofia, June 1983 (Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984). K. Atanassov and S. Stoeva, Intuitionistic fuzzy sets, in: Polish Symp. on Interval & Fuzzy Mathematics, Poznan (Aug. 1983) 23-26. K. Atanassov and S. Stoeva, Intuitionstic L-fuzzy sets, in: R. Trappl, Ed., Cybernetics and Systems Research 2 (Elsevier Sci. Publ., Amsterdam, 1984) 539-540. K. Atanassov, Intuitionistic fuzzy relations, in: L. Antonov, Bd., III International School "Automation and Scientific Instrumentation", Varna (Oct. 1984) 56-57. Citations: Issue:Remark on a special class of intuitionistic fuzzy sets ‎ (← links) Issue:On a hesitancy margin and a probability of intuitionistic fuzzy events ‎ (← links) Issue:Multi-objective optimisation in air-conditioning systems: comfort/discomfort definition by IF sets ‎ (← links) Issue:Completeness of IFS(X) as a metric space ‎ (← links) Issue:Intuitionistic fuzzy set entropies ‎ (← links) Issue:Handling uncertainty in natural sentences via intuitionistic fuzzy sets ‎ (← links) Issue:Monotone measures of intuitionistic fuzzy sets ‎ (← links) Issue:A multiattribute decision making approach using intuitionistic fuzzy sets ‎ (← links) Issue:IF-bags in decision analysis ‎ (← links) Issue:(k1-k2)-Intuitionistic fuzzy sets ‎ (← links) Issue:Introduction to intuitionistic fuzzy partial differential equations ‎ (← links) Issue:Intuitionistic fuzzy sets in some medical applications ‎ (← links) Issue:On intuitionistic fuzzy consent rules ‎ (← links) Issue:A study on intuitionistic fuzzy topological spaces ‎ (← links) Issue:Intuitionistic fuzzy n-ary systems ‎ (← links) Issue:A F-operator intuitionistic fuzzy version of the nearest neighbor classifier ‎ (← links) Issue:Conditional probability and independence of intuitionistic fuzzy events ‎ (← links) Issue:Intuitionistic fuzzy interpretation of frame-structures ‎ (← links) Issue:Bacillus colonies recognition using intuitionistic fuzzy sets ‎ (← links) Issue:Ranking intuitionistic fuzzy alternatives ‎ (← links) Issue:An application of intuitionistic fuzzy information for handwritten Arabic word recognition ‎ (← links) Issue:A new geometrical interpretation of some concepts in the intuitionistic fuzzy logic ‎ (← links) Issue:On some properties of one Cartesian product over intuitionistic fuzzy sets ‎ (← links) Issue:Generalized continuity in intuitionistic fuzzy topological spaces ‎ (← links) Issue:Representation of null values with the aid of H-IFS ‎ (← links) Issue:Intuitionistic fuzzy strongly preirresolute continuous mappings ‎ (← links) Issue:Interval-valued intuitionistic fuzzy matrices ‎ (← links) Issue:New measures of entropy for intuitionistic fuzzy sets ‎ (← links) Issue:Assigning the parameters for intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy set energies ‎ (← links) Issue:Generalized net model of lecturers' evaluation of student work with intuitionistic fuzzy estimations ‎ (← links) Issue:Lattice of IFLs on a set ‎ (← links) Issue:Two variants of intuitionistic fuzzy propositional calculus ‎ (← links) Issue:About the intuitionistic fuzzy set generators ‎ (← links) Issue:On intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy database ‎ (← links) Issue:Mathematical techniques to convert intuitionistic fuzzy sets into fuzzy sets ‎ (← links) Issue:A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets ‎ (← links) Issue:Ideas for intuitionistic fuzzy equations, inequalities and optimization ‎ (← links) Issue:On an intuitionistic fuzzy norm ‎ (← links) Issue:How two matrices can be compared? ‎ (← links) Issue:On a new geometrical interpretation of the intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy graphs from α-, β-, and (α, β)- levels ‎ (← links) Issue:On probability and independence in intuitionistic fuzzy set theory ‎ (← links) Issue:An intuitionistic fuzzy k-nearest neighbors rule ‎ (← links) Issue:The intuitionistic fuzzy set approach in the psychological research ‎ (← links) Issue:Applicability of the intuitionistic fuzzy set approach to musical language ‎ (← links) Issue:Interval valued intuitionistic fuzzy sets ‎ (← links) Issue:More on intuitionistic fuzzy sets ‎ (← links) Issue:New operations defined over intuitionistic fuzzy sets ‎ (← links) Issue:Remark on a special class of intuitionistic fuzzy sets ‎ (← links) Issue:On a hesitancy margin and a probability of intuitionistic fuzzy events ‎ (← links) Issue:Multi-objective optimisation in air-conditioning systems: comfort/discomfort definition by IF sets ‎ (← links) Issue:Completeness of IFS(X) as a metric space ‎ (← links) Issue:Intuitionistic fuzzy set entropies ‎ (← links) Issue:Handling uncertainty in natural sentences via intuitionistic fuzzy sets ‎ (← links) Issue:Monotone measures of intuitionistic fuzzy sets ‎ (← links) Issue:A multiattribute decision making approach using intuitionistic fuzzy sets ‎ (← links) Issue:IF-bags in decision analysis ‎ (← links) Issue:(k1-k2)-Intuitionistic fuzzy sets ‎ (← links) Issue:Introduction to intuitionistic fuzzy partial differential equations ‎ (← links) Issue:Intuitionistic fuzzy sets in some medical applications ‎ (← links) Issue:On intuitionistic fuzzy consent rules ‎ (← links) Issue:A study on intuitionistic fuzzy topological spaces ‎ (← links) Issue:Intuitionistic fuzzy n-ary systems ‎ (← links) Issue:A F-operator intuitionistic fuzzy version of the nearest neighbor classifier ‎ (← links) Issue:Conditional probability and independence of intuitionistic fuzzy events ‎ (← links) Issue:Intuitionistic fuzzy interpretation of frame-structures ‎ (← links) Issue:Bacillus colonies recognition using intuitionistic fuzzy sets ‎ (← links) Issue:Ranking intuitionistic fuzzy alternatives ‎ (← links) Issue:An application of intuitionistic fuzzy information for handwritten Arabic word recognition ‎ (← links) Issue:A new geometrical interpretation of some concepts in the intuitionistic fuzzy logic ‎ (← links) Issue:On some properties of one Cartesian product over intuitionistic fuzzy sets ‎ (← links) Issue:Generalized continuity in intuitionistic fuzzy topological spaces ‎ (← links) Issue:Representation of null values with the aid of H-IFS ‎ (← links) Issue:Intuitionistic fuzzy strongly preirresolute continuous mappings ‎ (← links) Issue:Interval-valued intuitionistic fuzzy matrices ‎ (← links) Issue:New measures of entropy for intuitionistic fuzzy sets ‎ (← links) Issue:Assigning the parameters for intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy set energies ‎ (← links) Issue:Generalized net model of lecturers' evaluation of student work with intuitionistic fuzzy estimations ‎ (← links) Issue:Lattice of IFLs on a set ‎ (← links) Issue:Two variants of intuitionistic fuzzy propositional calculus ‎ (← links) Issue:About the intuitionistic fuzzy set generators ‎ (← links) Issue:On intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy database ‎ (← links) Issue:Mathematical techniques to convert intuitionistic fuzzy sets into fuzzy sets ‎ (← links) Issue:A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets ‎ (← links) Issue:Ideas for intuitionistic fuzzy equations, inequalities and optimization ‎ (← links) Issue:On an intuitionistic fuzzy norm ‎ (← links) Issue:How two matrices can be compared? ‎ (← links) Issue:On a new geometrical interpretation of the intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy graphs from α-, β-, and (α, β)- levels ‎ (← links) Issue:On probability and independence in intuitionistic fuzzy set theory ‎ (← links) Issue:An intuitionistic fuzzy k-nearest neighbors rule ‎ (← links) Issue:The intuitionistic fuzzy set approach in the psychological research ‎ (← links) Issue:Applicability of the intuitionistic fuzzy set approach to musical language ‎ (← links) Issue:Interval valued intuitionistic fuzzy sets ‎ (← links) Issue:More on intuitionistic fuzzy sets ‎ (← links) Issue:New operations defined over intuitionistic fuzzy sets ‎ (← links) The list of publications, citing this article may be empty or incomplete. 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