Results 141 to 150 of about 928 (183)

Induced generalized intuitionistic fuzzy operators

Knowledge-Based Systems, 2011
We study the induced generalized aggregation operators under intuitionistic fuzzy environments. Choquet integral and Dempster-Shafer theory of evidence are applied to aggregate inuitionistic fuzzy information and some new types of aggregation operators are developed, including the induced generalized intuitionistic fuzzy Choquet integral operators and ...
Zeshui Xu, Meimei Xia
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Some operations on intuitionistic fuzzy sets

Fuzzy Sets and Systems, 2000
Let \(X\) 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\
Supriya Kumar De, Ranjit Biswas, Akhil Ranjan Roy   +2 more
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Prioritized intuitionistic fuzzy aggregation operators

Information Fusion, 2013
In some multi-attribute decision making problems, distorted conclusions will be generated due to the lack of considering various relationships among the attributes of decision making. In this paper, we investigate the prioritization relationship of attributes in multi-attribute decision making with intuitionistic fuzzy information (i.e., partial or all
Xiaohan Yu 0004, Zeshui Xu
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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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On averaging operators for Atanassov’s intuitionistic fuzzy sets

Information Sciences, 2011
Let \(A =\{\langle x, \mu_{A}(x), \nu_{A}(x)\rangle\mid x \in E\}\) be an intuitionistic fuzzy set (IFS), where \(E\) is a given universe, the functions \(\mu_{A}: E \rightarrow [0,1]\) and \(\nu_{A}: E \rightarrow [0,1]\) define the degrees of membership and of non-membership of the element \(x\in E\) to the set \(A\), respectively, and for every \(x ...
Gleb Beliakov, Humberto Bustince Sola, D. P. Goswami, U. K. Mukherjee, Nikhil R. Pal   +4 more
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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 0001, Shen-Ming Gu, Tong-Jun Li, You-Hong Xu   +3 more
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On Dual Intuitionistic Fuzzy Rough Approximation Operators Determined by an Intuitionistic Fuzzy Implicator

2013
In this paper, dual intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy implication operator ${\mathcal I}$ in infinite universes of discourse are investigated. Lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space in infinite universes of ...
Wei-Zhi Wu 0001, Cang-Jian Gao, Tong-Jun Li, You-Hong Xu   +3 more
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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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On generalized intuitionistic fuzzy rough approximation operators

Information Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei Zhou, Wei-Zhi Wu 0001
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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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