Multiset filters of residuated lattices and its application in medical diagnosis

Issue title: Soft Computing and Intelligent Systems: Techniques and Applications

Guest editors: Sabu M. Thampi and El-Sayed M. El-Alfy

Article type: Research Article

Authors: Anusuya Ilamathi, V.S.^a | Vimala, J.^{a; *} | Davvaz, Bijan^b

Affiliations: [a] Department of Mathematics, Alagappa University, Karaikudi, India | [b] Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. Vimala J., Department of Mathematics, Alagappa University, Karaikudi, India. E-mail: [email protected].

Abstract:  Residuated lattices are algebraic frameworks with crucial bond to mathematical logic. A multiset is a collection that bearing repetition of objects in it. In this paper, the notion of multisets is applied to filters of residuated lattices and introduced the new concept of multiset filters. The relation between multiset filters and their n-level sets is showed and some principal characterizations of multiset filter are discussed. Furthermore, as an application of the proposed concept, a decision making problem is presented.

Keywords: Multiset, multiset filter, residuated lattices, decision making problem

DOI: 10.3233/JIFS-169940

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2297-2305, 2019