Interval valued L-fuzzy ideals based on t-norms and t-conorms

Article type: Research Article

Authors: Jagadeesha, B | Srinivas, Kedukodi Babushri^* | Prasad, Kuncham Syam

Affiliations: Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka, India

Correspondence: [*] Corresponding author. Kedukodi Babushri Srinivas, Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka 576104, India. E-mail: [email protected].

Abstract: In this paper, we present an unified approach which defines interval valued L-fuzzy ideals of nearrings by incorporating interval valued t-norms and t-conorms. We characterize interval valued L-fuzzy ideals in terms of their level subsets. We study insertion of factors property and relate interval valued fuzzy points with interval valued fuzzy ideals.

Keywords: nearring, lattice, ideal, t-norm, t-conorm

DOI: 10.3233/IFS-151541

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 6, pp. 2631-2641, 2015