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What is Fuzzy Parameterized Soft Set

Chapter 6
Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Let U be an initial universal set and let E be a set of parameters. Then the pair ( U , E ) will be called a soft universe. Let P ( U ) denote the power set of U and µ E be a fuzzy set over E . A triplet ( U , µ E , F µ ) is called a fuzzy parameterized soft set (FPS set in short) over ( U , E ) iff F µ is a mapping given by and is defined as follows: For where
Published in Chapter:
Some Hybrid Soft Sets and Their Application in Decision Making
Pinaki Majumdar (M. U. C. Women's College, India)
Copyright: © 2016 |Pages: 32
DOI: 10.4018/978-1-4666-9798-0.ch006
Abstract
In this chapter the notions of two hybrid soft sets, namely fuzzy parameterized soft sets and vague soft sets has been discussed and some operations on them are defined. Some properties of these two hybrid soft sets under these operations are also studied. Application of fuzzy parameterized soft sets and vague soft sets in decision making has also been shown. Then the notion of similarity measure between two hybrid soft sets has been introduced and their basic properties are studied. Applications of these similarity measures in various problems like medical diagnosis and decision making have been shown. The idea of entropy of a fuzzy parameterized soft set has been introduced.
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