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Prioritized intuitionistic fuzzy aggregation operators
Information Fusion, 2013In 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, Zeshui Xu
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Intuitionistic fuzzy ordered weighted distance operator
Knowledge-Based Systems, 2011The 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
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Operations on Intuitionistic Fuzzy Graphs
New Mathematics and Natural Computation, 2021In this paper, we determine operations on intuitionistic fuzzy graphs. The purpose is to apply the results to the combination of human trafficking routes. However, we use arbitrary dual [Formula: see text]-norms and [Formula: see text]-conorms to form these combinations since they determine more accurate models than maximum and minimum.
John N. Mordeson +2 more
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Induced generalized intuitionistic fuzzy operators
Knowledge-Based Systems, 2011We 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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Operators on intuitionistic fuzzy relations
2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015In the paper properties of intuitionistic fuzzy relations are considered and preservation of some properties by operations, including lattice operations, composition and related operators are studied. Properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, symmetry, antisymmetry, perfect antisymmetry and ...
Barbara Pekala +4 more
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Operations on intuitionistic fuzzy graphs
2009 IEEE International Conference on Fuzzy Systems, 2009Intuitionistic fuzzy sets are generalization of fuzzy sets. In this paper, the definition of complement of an Intuitionistic Fuzzy Graph (IFG) is given and some properties of self-complementary IFGs are studied; The operations on IFGs such as Union, Join, Cartesian Product and Composition are defined and some of their properties are also analyzed.
R. Parvathi +2 more
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Intuitionistic Fuzzy Rough Approximation Operators Based on Intuitionistic Fuzzy Triangle Norm
2010 IEEE International Conference on Granular Computing, 2010In 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, 2006The 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
2022In 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. +3 more
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INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
2007The 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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