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Temporal intuitionistic fuzzy pairs
Krassimir Atanassov,Vassia Atanassova 장전수학회 2021 Proceedings of the Jangjeon mathematical society Vol.24 No.3
The concept of a Temporal Intuitionistic Fuzzy Pair (TIFP) is introduced as an extension of the concept of an intuitionistic fuzzy pair. Some geometrical interpretations of the TIFPs are given. The basic relations, operations and operators are dened over TIFPs.
Optimization of a neural network of self-organizing maps type with time-limits by a generalized net
K. Atanassov,S. Sotirov 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.2
The neural networks Self-Organizing Maps have got a multitude of applications. The introduced generalized net gives a possibility for optimization of the neural network allowing determination of its optimum architecture based on time limits for its learning.
Level operators over index matrices. part 1: Index matrices with real non-negative elements
K. Atanassov 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.4
For a given index matrix with real non-negative elements, level op- erators are introduced, that modify the elements of the matrix. The basic properties of these operators are studied.
A GENERALIZED NET MODEL OF DECISION MAKING PROCESS
Krassimir Atanassov 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.2
In this paper, a generalized net model of a decision making process is described. It is an extension of the existing generalized net models of such systems.
On index matrices Part 4: new operations over index matrices
Krassimir Atanassov,Evdokia Sotirova,Veselina Bureva 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.3
In this paper eight new operations over index matrix are introduced and some of their basic properties are studied.
Cartesian products over intuitionistic Fuzzy index matrices
K. Atanassov,T. Pencheva 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.1
In this paper, two forms of a new operation, called a Cartesian product, is introduced over intuitionistic fuzzy index matrices. Some of its properties are discussed.
Cartesian products over extended index matrices
Krassimir Atanassov 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.1
By the moment, two different Cartesian products and defined over intu- itionistic fuzzy index matrices. In the preset paper, seven new definitions of oper- ation Cartesian product are introduced in the more general case of extended index matrices and some of their properties are studied. In a particular case, it is shown how these definitions can be modified for the intuitionistic fuzzy index matrices.
Krassimir Atanassov 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.1
The definitions of the different modal type of intuitionistic fuzzy operators are given. The two most extended modal operators defined over interval valued intuitionistic fuzzy sets are given and a Theorem for equivalence of these two most extended modal operators is proved.
Generalized net model of intercriteria analysis
Krassimir Atanassov 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.3
Short remarks on InterCriteria Analysis (ICrA) are given. A generalized net model of functioning and results of the work of the ICrA is described.