An Investigation on Algebraic Structure of Soft Sets and Soft Filters over Residuated Lattices. (13th March 2014)

• Record Type: Journal Article
• Authors: Rasouli, S.; Davvaz, B.
• Other Names: Kim H. S. Academic Editor.; Nakatsu T. Academic Editor.; Yang S. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2014(2014)
• Publication Date: 2014-03-13
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.1155/2014/635783
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : We introduce the notion of soft filters in residuated lattices and investigate their basic properties. We investigate relations between soft residuated lattices and soft filter residuated lattices. The restricted and extended intersection (union), ∨ and∧ -intersection, cartesian product, and restricted and extended difference of the family of soft filters residuated lattices are established. Also, we consider the set of all soft sets over a universe setU and the set of parametersP with respect toU, S o f t P (U ), and we study its structure.