Results 1 to 10 of about 39 (31)
On Two Intuitionistic Fuzzy Modal Topological Structures
Axioms, 2023 The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) was introduced previously, and some of its properties were studied. So far, there are two different IFMTSs based on the classical intuitionistic fuzzy operations: “union” (∪) and “
Krassimir Atanassov +2 more
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Intuitionistic Fuzzy Modal Topological Structure
Mathematics, 2022 The concept of an Intuitionistic Fuzzy Modal Topological Structure (IFMTS) or for brevity, Intuitionistic Fuzzy Modal Topology (IFMT), is introduced.
Krassimir Atanassov
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Remark on Intuitionistic Fuzzy Temporal Modal Topological Structures
AxiomsIn a series of papers, we have discussed the concept of a modal topological structure modified, extended and illustrated by examples from intuitionistic fuzzy sets. Here, the concept of a temporal modal topological structure is introduced and illustrated with four different intuitionistic fuzzy temporal modal topological structures.
Krassimir Atanassov +1 more
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MathematicsOn the basis of K. Kuratowski’s definitions of a topological structure with a closure or interior operator, the concept of a modal topological structure (MTS) with one of these operators was introduced by the author. This new structure was illustrated with examples with intuitionistic fuzzy topological operators from both examples, and for this reason,
Krassimir Atanassov +1 more
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On the intuitionistic fuzzy modal feeble topological structures
Notes on Intuitionistic Fuzzy Sets, 2022 In the paper, for the first time, ideas for intuitionistic fuzzy modal feeble topological structures (of two types) are introduced, and some of their properties are discussed. These topologies are based on the intuitionistic fuzzy operation @, intuitionistic fuzzy operator W, on the two intuitionistic fuzzy modal operators □, ◊ and of simplest ...
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Notes on Intuitionistic Fuzzy Sets, 2023 In the intuitionistic fuzzy sets theory there are some intuitionistic fuzzy topological operators. Here, two new operators are defined, some of their properties are shown and on their basis, four new intuitionistic fuzzy feeble modal topological structures are introduced and some of their properties are discussed.
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On intuitionistic fuzzy modal topological structures with modal operator of second type
Notes on Intuitionistic Fuzzy Sets, 2022 Two new Intuitionistic Fuzzy Modal Feeble Topological Structures (IFMFTSs) are introduced of fifth and sixth types. Examples for these structures are given.
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Some Topological and Modal Operators over the Intuitionistic Fuzzy Sets of Cube Root Type
International Journal of Recent Technology and Engineering (IJRTE), 2019 In this paper, we defined newly topological operators and modal-like operators and negation over Intuitionistic Fuzzy Sets of Cube Root Type (IFSCRT) are proposed and few theorems are proved.
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A general approach to modal topological structures illustrated by intuitionistic fuzzy objects
Notes on Intuitionistic Fuzzy SetsA new, general approach to introducing of the concept of a Modal Topological Structure (MTS) is given. The basic properties of the MTS are studied. The MTSs are illustrated by intuitionistic fuzzy objects - intuitionistic fuzzy sets, operations, relations and operators. So, 38 different intuitionistic fuzzy MTSs are described.
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Notes on Intuitionistic Fuzzy SetsThe concept of multi-dimensional modal topological structures was introduced in the middle of 2025. One of the special forms of these structures are the intuitionistic fuzzy multi-dimensional modal topological structures. Here, we give examples of intuitionistic fuzzy multi-dimensional modal topological structures, related to extended intuitionistic ...
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