On Some New Operations in Probabilistic Soft Set Theory

Authors

  • Cigdem Gunduz Kocaeli University
  • Hande Posul

Keywords:

Soft sets, Probabilistic soft sets, Probabilistic soft sets operations

Abstract

In this paper, we study the theory of probabilistic soft sets introduced by
Zhu and Wen \cite{ZhuWen}. We define equality of two probabilistic soft
sets, subset, complement of a probabilistic soft set, impossible
probabilistic soft set, certain probabilistic soft set with examples.We also
introduce the operations of union, intersection, difference and symmetric
difference. We prove that certain De Morgan's laws hold in probabilistic
soft set theory with respect to these new definitions.

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Published

2016-07-02

Issue

Vol. 9 No. 3: (July 2016)

Section

Mathematical and Fuzzy Logic

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How to Cite

On Some New Operations in Probabilistic Soft Set Theory. (2016). European Journal of Pure and Applied Mathematics, 9(3), 333-339. https://www.ejpam.com/index.php/ejpam/article/view/2349