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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.
ON INDEX MATRICES Part 2: Intuitionistic fuzzy case
Krassimir T. Atanassov 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
In this paper the concept of intuitionistic fuzzy index matrix is introduced and its basic properties are discussed. statements are formulated.
n-Dimensional Extended Index Matrices Part 1
Krassimir T. Atanassov 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
Index Matrices (IMs) are extensions of the ordinary matrices. They are also object of extensions and modifications, e.g., extended index matrices. In the present research, we describe extended index matrices, havingd as elements whole index matrices.
Two new intuitionistic fuzzy implications
Krassimir T. Atanassov,Trifon A. Trifonov 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.1
Two new intutionistic fuzzy implications are constructed. Their relations with some forms of Modus Ponens, Klir and Yuan's axioms and intuitionistic logic axioms are studied. The intuitionistic fuzzy negations generated by the two implications are constructed and some of their properties are discussed.
ON INDEX MATRICES Part 1: Standard cases
Krassimir T. Atanassov 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.2
In this paper the basic results on the concept of index matrix, introduced by the author 25 year ago, are collected. New de¯nitions and statements are formulated.
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 3: On the hierarchical operation over index matrix
Krassimir T. Atanassov 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.2
In this paper the definition of a new operation is introduced. It extends the hierarchical operation over index matrix, defined in [3]. Theorems for its representation are given.
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 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.
An extension of one of Klamkin's inequalities
Krassimir T. Atanassov 장전수학회 2011 Advanced Studies in Contemporary Mathematics Vol.21 No.4
An extension of the standard Klamkin's inequality and of two of its modifications are formulated and proved.