What is it about?
In our daily life, we often come across various problems related to the high dimensionality of data. In such type of problems irrelevant and superfluous data along with useful data is also present. Thus, dimensionality reduction has found wide applications in data analysis and management. In recent years the issue of dimensionality reduction in a fuzzy situation has also gained importance and has invited attention of researchers. The various techniques and theories have been developed by them to solve these types of problems. Some of these techniques based on probabilistic approach and others are non-probabilistic approach
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Why is it important?
In this chapter the concept of fuzzy soft set is defined as hybridization of fuzzy set and soft set theory. A new technique is proposed to convert the soft set table into fuzzy soft set table, which is applied in dimension reduction of big data. The concepts of fuzzy soft set and intuitionistic fuzzy soft set are defined as hybridization of fuzzy set and soft set theory. New methods of applications of fuzzy soft and intuitionistic soft sets are also described in Medical Diagnosis following Sanchez’s approach.
Perspectives
A new technique of dimensional reduction using fuzzy soft theory has good perspective to decision making problems as the data size is reduced considerably. The proposed algorithm whose application has been illustrated by an example will be capture the attention of researchers working in data science. Application of intuitionistic soft set in medical diagnosis has opened a new vista in medical science. This will facilitate to diagnose the disease of the patient efficiently and accurately.
D S Hooda
Guru Jambheshwar University of Science and Technology
In this chapter a new technique of dimensionality reduction is discussed by using fuzzy soft set theory via soft set theory. By using proposed technique in considered example taken by Maji et al. [10] it is found that data size has been reduced to approx 75% and reduced data still maintain the same decision partition stated by Maji et al. [11]. The example illustrates our contribution and shows that the proposed algorithm efficiently captures the reduction. Applications of fuzzy soft and intuitionistic soft sets in medical diagnosis have been described by Sanchez’s approach for medical diagnosis and illustrated by studying practical cases.
Prof. D S Hooda
Guru Jambheshwar University of Science and Technology
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This page is a summary of: On Applications of Fuzzy Soft and Intuitionistic Fuzzy Soft Sets in Dimension Reduction and Medical Diagnosis, February 2021, Sciencedomain International,
DOI: 10.9734/bpi/nicst/v8/2124e.
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