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Soft decision making methods based on fuzzy sets and soft sets
Journal of Intelligent & Fuzzy Systems, 2016In this paper, we propose soft decision making methods based on fuzzy and soft set theory. We also use matrix representation of the soft sets that is very useful for computations of the method. We finally present an example which shows that the method can be successfully applied to many problems that contain uncertainties.
Haci Aktas, Naim Çagman
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An extended soft set model: Type-2 fuzzy soft sets
2011 IEEE International Conference on Cloud Computing and Intelligence Systems, 2011The soft set theory has been initiated by Molodtsov as a useful mathematical tool for dealing with uncertainty, fuzzy, not clearly defined objects. However, it is inappropriate to be used to deal with fuzzy parameters that involve uncertain words, linguistic terms and have a non-measurable domain.
Xi'ao Ma, Guoyin Wang 0001
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Granularity Analysis of Fuzzy Soft Set
2012Fuzzy soft set (FSs) is a novel mathematical tool, in order to describe and measure uncertain information of FSs perfectly, granularity analysis based on covering about FSs is originally discussed in this paper. Firstly, the α-dominance relation between any two objects is built by constructing the possibility degree or the weighted possibility degree ...
Dengbao Yao +3 more
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Fuzzy parameterized fuzzy soft sets and decision making
International Journal of Machine Learning and Cybernetics, 2015The aim of this paper is to define t-norms and t-conorms products of fuzzy parameterized fuzzy soft sets (briefly, fpfs-sets). By using these products, AND–fpfs decision making and OR–fpfs decision making methods are constructed, respectively. Finally, the decision making methods are applied to solve problems which contain uncertainties.
Kuanyun Zhu, Jianming Zhan 0001
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Algebraic Structure of Fuzzy Soft Sets
2014This paper is devoted to the discussion of algebraic structures of fuzzy soft sets. The fuzzy notion of soft equality relation on fuzzy soft sets is proposed and several related properties are investigated. Furthermore, MTL structures of fuzzy soft algebra and complex sample for affiliations and the mapping to the fuzzy soft quotient algebra are ...
Zhiyong Hong, Keyun Qin
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Fuzzy soft set over a fuzzy topological space
International Journal of Machine Learning and Cybernetics, 2015The aim of this article, we combine the fuzzy soft set and fuzzy topological space. We introduce the notion of fuzzy soft set over common universe of fuzzy topological space. We defined quasi-open fuzzy soft set over fuzzy topological space and we study the properties of extended union of two quasi-open fuzzy soft set over fuzzy topological space.
Saleem Abdullah +3 more
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More on Intuitionistic Fuzzy Soft Sets
2009New operations on intuitionistic fuzzy soft sets have been introduced in this paper. Some results relating to the properties of these operations have been established. An example has also been introduced as an application of these operations.
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How ’Soft’ Soft Computing Is: On the Ordering of Fuzzy Sets
2007It is well known that classical computing is strict, while soft computing is soft. But how soft is soft computing? Like water, cotton, or spring? Can the soft be at will? If can not be, how soft it should be? Is there a proper principle or restriction?
Naiqin Feng +3 more
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Introduction to fuzzy topology on soft sets
2019Summary: The purpose of the paper is to define gradation of openness on soft sets \(\tau\) and examine some of its important properties. For this, we give some fundemental properties of soft sets. Later we introduce the concepts of base and subbase in fuzzy topological space of soft sets, and use them to discuss continuous mapping and open mapping.
Bayramov, Sadi +2 more
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LEVEL SOFT SETS BASED ON FUZZY SETS
Quantitative Logic and Soft Computing, 2012Feng Feng 0003 +2 more
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