Kernels and closures of soft set relations, and soft set relation mappings

Authors:
Hai-Long Yang;Zhi-Lian Guo
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi'an, PR China;College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi'an, PR China and College of Economics and Management, Northwest University of Politics and Law, 710063, Xi'an, ...
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this paper, the notions of anti-reflexive kernel, symmetric kernel, reflexive closure, and symmetric closure of a soft set relation are first introduced, respectively. Then, their accurate calculation formulae and some properties are obtained. Finally, soft set relation mappings and inverse soft set relation mappings are proposed, and some related properties are discussed.