Tridiv Jyoti Neog; Dusmanta Kumar Sut

An Introduction to the Theory of Imprecise Soft Sets

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Author(s)

Tridiv Jyoti Neog ^1,* Dusmanta Kumar Sut ²

1. Dept. of Mathematics, CMJ University, Shillong, Meghalaya, India

2. Dept. of Mathematics, N N Saikia College, Titabor, Jorhat, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2012.11.09

Received: 17 Feb. 2012 / Revised: 3 Jun. 2012 / Accepted: 25 Aug. 2012 / Published: 8 Oct. 2012

Index Terms

Imprecise Sets, Partial Presence, Soft Sets, Imprecise Soft Sets, Presence Level Matrix, Similarity of Imprecise Soft Sets

Abstract

This paper aims to introduce the theory of imprecise soft sets which is a hybrid model of soft sets and imprecise sets. It has been established that two independent laws of randomness are necessary and sufficient to define a law of fuzziness. Further, in case of fuzzy sets, the set theoretic axioms of exclusion and contradiction are not satisfied. Accordingly, the theory of imprecise sets has been developed where these mistakes arising in the literature of fuzzy sets are absent. Our work is an endeavor to combine imprecise sets with soft sets resulting in imprecise soft sets. We have put forward a matrix representation of imprecise soft sets. Finally we have studied the notion of similarity of two imprecise soft sets and put forward an application of similarity in a decision problem.

Cite This Paper

Tridiv Jyoti Neog, Dusmanta Kumar Sut, "An Introduction to the Theory of Imprecise Soft Sets", International Journal of Intelligent Systems and Applications(IJISA), vol.4, no.11, pp.75-83, 2012. DOI:10.5815/ijisa.2012.11.09

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International Journal of Intelligent Systems and Applications (IJISA)