Results 211 to 220 of about 6,274 (252)

Intuitionistic Fuzzy Rough Approximation Operators Based on Intuitionistic Fuzzy Triangle Norm

2010 IEEE International Conference on Granular Computing, 2010
In rough set theory, the lower and upper approximation operators defined by binary relations satisfy many interesting properties. Various generalizations of Pawlak’s rough approximations have been made in the literature over these years. This paper proposes a general framework for the study of intuitionistic fuzzy rough approximation operators based on
Renbing Lin, Jiyi Wang
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Intuitionistic fuzzy implication operators: Expressions and properties

Journal of Applied Mathematics and Computing, 2006
The authors consider 32 implication operators in intuitionistic fuzzy set theory (equivalent to interval-valued fuzzy set theory), built up according to Bustince et al.'s method using (classical) fuzzy implication operations, their dual co-implications and aggregation operations.
Lin, Lin, Xia, Zunquan
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Intuitionistic Smooth Fuzzy $\theta$-Closure Operator

2022
In this paper, the concepts of intuitionistic $r$-fuzzy $\theta$-open ($\theta$-closed) sets and intuitionistic $r$-fuzzy $\theta$-closure operator are introduced and discussed in intuitionistic smooth fuzzy topological spaces. As applications of these concepts, certain functions are characterized in terms of intuitionistic smooth fuzzy $\theta ...
JAFARİ, S., MENAGADEVİ, T, MARAGATHA MEENAKSHI, P, RAJESH, N.   +3 more
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INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS

2007
The object of this paper is to introduce the notion of intuitionistic fuzzy continuous mappings and intuitionistic fuzzy bounded linear operators from one intuitionistic fuzzy n-normed linear space to another. Relation be- tween intuitionistic fuzzy continuity and intuitionistic fuzzy bounded linear operators are studied and some interesting results ...
Vijayabalaji, S., Thillaigovindan, N.
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The logarithmic operational laws of intuitionistic fuzzy sets and intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2017
Intuitionistic fuzzy set (IFS) is an extension of fuzzy set. The basic element of an IFS is the ordered pair called intuitionistic fuzzy number (IFN). So far, some basic operational laws of IFNs are defined, but not including the logarithmic operation. In this paper, a logarithmic operational law about IFNs is defined, in which the base
Li, Zehua, Wei, Fuyi
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Intuitionistic Fuzzy Temporal-Modal Operators

2021
New type of intuitionistic fuzzy operators that are extensions similar to the intuitionistic fuzzy modal operators, as well as to the temporal operators defined over intuitionistic fuzzy sets (IFSs), are introduced and some of their basic properties are discussed. For the first time, the definitions of the IFS-forms of intuitionistic fuzzy implications
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Intuitionistic Fuzzy Modal Topological Structures Based on Two New Intuitionistic Fuzzy Modal Operators

2023
Summary: In the present paper, four Intuitionistic Fuzzy Modal Topological Structures (IFMTSs) are described and some of their properties are discussed. While in the first paper over an IFMTS the modal operators were the simplest (standard) ones, here particular cases of three of the extended modal operators over intuitionistic fuzzy sets are used ...
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New Intuitionistic Fuzzy Operations

2012
When discussions for the name “IFS” started and I understood that the general critique is that over the IFSs we can define operation “negation” that is not classical, I started searching the implications and negations that have non-classical nature. My first step (naturally, not in the most suitable direction) was to introduce the operators, defined in
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Intuitionistic fuzzy ordered weighted distance operator

Knowledge-Based Systems, 2011
The ordered weighted distance and is a new decision-making technique, having been proved useful for the treatment of input data in the form of exact numbers. In this paper, we consider the situation with intuitionistic fuzzy information and develop an intuitionistic fuzzy ordered weighted distance (IFOWD) operator.
Shouzhen Zeng, Weihua Su
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Intuitionistic Fuzzy Rough Approximation Operators Determined by Intuitionistic Fuzzy Triangular Norms

2014
In this paper, relation-based intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy triangular norm T are investigated. By employing an intuitionistic fuzzy triangular norm T and its dual intuitionistic fuzzy triangular conorm, lower and upper approximations of intuitionistic fuzzy sets with respect to an ...
Wei-Zhi Wu, Shen-Ming Gu, Tong-Jun Li, You-Hong Xu   +3 more
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