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Article type: Research Article
Authors: Senapati, Tapana; * | Shum, K.P.b
Affiliations: [a] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India | [b] Institute of Mathematics, Yunnan University, Kunming, People’s Republic of China
Correspondence: [*] Corresponding author. Tapan Senapati, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India. Tel.: +91 963 543 0583; E-mail: math.tapan@gmail.com.
Abstract: In this paper, by using the t-norm T and t-conorm S, we introduce the intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra. Some properties of intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra under the homomorphism are discussed. The direct product and the (T, S)-product of intuitionistic fuzzy bi-normed KU-ideals are particularly investigated. Some results obtained in this paper can be regarded as extended and generalized results recently given by S.M. Mostafa et al. concerning the intuitionistic fuzzy KU-ideals in KU-algebras.
Keywords: KU-algebra, T-norm, T-conorm, intuitionistic fuzzy bi-normed KU-ideal, homomorphism, upper(lower)-level cut
DOI: 10.3233/IFS-151841
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1169-1180, 2016
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