Results 171 to 180 of about 5,520 (205)
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The logarithmic operational laws of intuitionistic fuzzy sets and intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017Intuitionistic 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
2021New 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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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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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
2012When 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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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 +3 more
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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 +3 more
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Additive Intuitionistic Fuzzy Aggregation Operators Based on Fuzzy Measure
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016Intuitionistic fuzzy sets can describe the uncertainty and complexity of the world flexibly, so it has been widely used in multi-attribute decision making. Traditional intuitionistic fuzzy aggregation operators are usually based on the probability measure, namely, they consider that the attributes of objects are independent.
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Some operations on intuitionistic fuzzy sets
Fuzzy Sets and Systems, 2000Let \(X\) be a nonempty fixed set (universe). An Intuitionistic Fuzzy Set (IFS) \(A\) is an object having the form \[ A=\biggl\{ \bigl\langle x, \mu_A(x), \nu_A(x) \bigr\rangle:x\in X\biggr\} \] where the functions \(\mu_A: X\to [0,1]\) and \(\nu_A: X\to[0,1]\) denote the degrees of membership and of non-membership of each element \(x\in X\) to set \(A\
De, Supriya Kumar +2 more
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Consolidation operator for Intuitionistic Fuzzy Set
NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society, 2009Intuitionistic Fuzzy Set (IFS) is the first major attempt to capture both membership as well as the nonmembership in a comprehensive way. The currently available operators of IFS, at the very least, cannot be used for of knowledge consolidation. In this paper the consolidation operator for IFS has been introduced.
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CUBIC INTUITIONISTIC FUZZY AGGREGATION OPERATORS
International Journal for Uncertainty Quantification, 2018Gagandeep Kaur, Harish Garg
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Intuitionistic Fuzzy Group With Extended Operations
2018In this paper we give an extension in the intuitionistic fuzzy frame of a low of a crisp group \((G,*)\) by means of the extended form of the Zadeh’s extension principle, And we build the conditions whose permit us to give an intuitionistic fuzzy group structure.
S. Melliani, I. Bakhadach, L. S. Chadli
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