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Rough Soft Sets in Fuzzy Setting
2013Fuzzy set theory, soft set theory and rough set theory are mathematical tools for dealing with uncertainties and are closely related. In the paper, we define the notion of a soft set in L-set theory, introduce several operators for L-soft set theory, and investigate the rough operators on the set of all L-soft sets induced by the rough operators on L X
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Spectral fuzzy sets and soft thresholding
Information Sciences, 1992A new concept of spectral fuzzy sets has been introduced for dealing with the uncertainty in subjective assignment of membership value to the elements of a fuzzy set. The concept is characterized by a set of membership functions reflecting an individual's (or several individuals') opinion. The uncertainty due to spectralness has been explained.
Sankar K. Pal, Ambarish Dasgupta
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Lattice Structures of Fuzzy Soft Sets
2010In this paper, we study the algebraic structures of fuzzy soft sets. Some operations on fuzzy soft sets are introduced and several related properties are investigated. Furthermore, two lattice structures of fuzzy soft sets are established. It is proved that certain De Morgan's laws hold in fuzzy soft set theory.
Keyun Qin, Hua Zhao
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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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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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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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