Applications of rough soft sets in BCI-algebras and decision making

Issue title: Dedicated to Professor Lotfi A. Zadeh and Fifty Years of Fuzzy Logic

Article type: Research Article

Authors: Ma, Xueling^*

Affiliations: Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China

Correspondence: [*] Corresponding author. Xueling Ma, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China. Tel.: +86 0718-8437732; E-mail: [email protected].

Abstract: Rough sets and soft sets are important tools to deal with uncertainties. Combining rough sets and soft sets, we apply rough soft set theory to BCI-algebras. Some basic operations of the lower and upper soft approximations are discussed. Some kinds of rough soft ideals of BCI-algebras are also obtained. Finally, two kinds of decision making methods for rough soft BCI-algebras are investigated.

Keywords: Rough soft set, lower(upper) soft approximation, rough soft (p-,q-,a-) ideal, decision making, BCI-algebra

DOI: 10.3233/IFS-151724

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 3, pp. 1079-1085, 2015