Results 1 to 10 of about 46 (32)

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
doaj   +4 more sources

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, Nora Angelova, Tania Pencheva   +2 more
doaj   +4 more sources

Intuitionistic Fuzzy Modal Multi-Topological Structures and Intuitionistic Fuzzy Multi-Modal Multi-Topological Structures

Mathematics
On 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.
Krassimir Atanassov
doaj   +4 more sources

Remark on Intuitionistic Fuzzy Temporal Modal Topological Structures

Axioms
In 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
Krassimir Atanassov
doaj   +4 more sources

A general approach to modal topological structures illustrated by intuitionistic fuzzy objects [PDF]

Notes on IFS
A new, general approach to introducing of the concept of a Modal Topological Structure (MTS) is given. The basic properties of the MTS are studied.
Krassimir Atanassov
doaj   +3 more sources

Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures [PDF]

Notes on IFS
The 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.
Krassimir Atanassov
doaj   +2 more sources

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 ...
openaire   +1 more source

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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Intuitionistic fuzzy level topological structures [PDF]

Notes on IFS
The paper is a continuation of the series of papers devoted to the concept of a Modal Topological Structure (MTS) and its modification and extension. Here we introduce two new modifications of MTSs – the Level Topological Structures (LTSs, when the level
Krassimir Atanassov
doaj   +1 more source

On two new intuitionistic fuzzy topological operators and four new intuitionistic fuzzy feeble modal topological structures

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.
openaire   +1 more source