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A proposed shadowed intuitionistic fuzzy numbers

2015 Tenth International Conference on Computer Engineering & Systems (ICCES), 2015
The methods of constructing shadowed sets have been developed to conserve the amount of uncertainty for fuzzy sets. The shadowed sets designed by such methods usually maintain one type of uncertainty for fuzzy sets. Moreover, such techniques are considered inappropriate for higher types of fuzzy sets.
Mohamed A. El-Hawy   +3 more
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Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm

International Journal of Fuzzy System Applications, 2019
The correlation coefficient of variables has wide applications in statistics and is often calculated in crisp or fuzzy environment. This article extends the application of correlation coefficient to intuitionistic fuzzy environment. In this article, a new method is proposed to measure the correlation coefficient of intuitionistic fuzzy numbers using ...
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Trapezoidal Intuitionistic Approximations of Intuitionistic Fuzzy Numbers Preserving the Width

2019
The problem is discussed about approximating a sequence of intuitionistic fuzzy numbers or aggregating the sequence of intuitionistic fuzzy numbers and then approximating the output of aggregation with condition of preserving the width. An interesting conclusion is obtained.
Shu-yang Li, Hong-xing Li
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Possibility Degree Method for Ranking Intuitionistic Fuzzy Numbers

2010 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology, 2010
In this paper, we study the method of ranking intuitionistic fuzzy numbers. Firstly a possibility degree formula is defined to compare two intuitionistic fuzzy numbers. We prove the ranking order of two intuitionistic fuzzy numbers obtained by the possibility degree formula is the same as the one by using the score function defined by Chen and Tan ...
Cui-Ping Wei, Xijin Tang 0001
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ATANASSOV’S INTUITIONISTIC FUZZY TOPOLOGY BASED ON THE SPACE OF INTUITIONISTIC FUZZY REAL NUMBERS (IFRN)

International Science and Technology Journal
This study presents a new perspective on intuitionistic fuzzy topology through the integration of intuitionistic fuzzy real numbers and universal sets. Using theoretical foundations and operations developed by Atanassov and extended by Davvaz and others, we construct a topological framework that supports generalized fuzzy reasoning.
KAREMA SALEH ABDULMULA   +1 more
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On the WABL Defuzzification Method for Intuitionistic Fuzzy Numbers

2019
Intuitionistic fuzzy sets (IFSs) have been proposed by Atanassov as an extension of classical fuzzy sets (FSs) originated from an early work of Zadeh. The main advantage of the IFSs is their property to deal with the uncertainty that may be included by information. IFSs have two types of functions: membership function which is also employed to describe
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A linear ordering on the class of Trapezoidal intuitionistic fuzzy numbers

Expert Systems with Applications, 2016
A complete ranking on the class of trapezoidal intuitionistic fuzzy numbers is achieved.In this paper our proposed method is compared with all familiar existing methods.Proposed ranking method is the best one when compare with all existing methods.Proposed ranking method is computationally easy to calculate for any TrIFNs.
V. Lakshmana Gomathi Nayagam   +2 more
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A valuation-based method for ranking the intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2013
Ranking the intuitionistic fuzzy numbers plays an important role in the process of decision making in the intuitionistic fuzzy environment. This paper presents a valuation-based method for ranking the intuitionistic fuzzy numbers. For this purpose, first, a method for mapping the intuitionistic fuzzy numbers to the crisp values is proposed and the ...
Ehsan Jafarian, Mohammad Ali Rezvani
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Choquet integral on Liu's generalized intuitionistic fuzzy numbers

2010 International Conference on Machine Learning and Cybernetics, 2010
How to find a good aggregation operation and an operation-invariant partial order for all operations are the most important key issues in intuitionistic fuzzy multi-criteria fuzzy decision making problems. In this paper, a Choquet integral aggregation operation on Liu's generalized intuitionistic fuzzy numbers is proposed, a generalized condition of an
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A New Centroid Method of Ranking for Intuitionistic Fuzzy Numbers

2014
In this paper, we proposed a new ranking method for intuitionistic fuzzy numbers (IFNs) by using centroid and circumcenter of membership function and non-membership function of the intuitionistic fuzzy number. The method utilizes the midpoint of the circumcenter of membership and non-membership function of intuitionistic fuzzy number to define the ...
Anil Kumar Nishad   +2 more
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