J Anal https://doi.org/10.1007/s41478-018-0087-4 ORI G INAL RESEARCH PAPER 1 2 M. Ramachandran K. Dhilip Kumar Received: 2 February 2018 / Accepted: 12 May 2018 Forum D’Analystes, Chennai 2018 Abstract In this present paper, we introduce the notion of interval valued fuzzy weak bi-ideals of near-rings. We have characterized and investigated some related properties of interval valued fuzzy weak bi-ideals of near-rings. Keywords Near-rings Bi-ideals Fuzzy bi-ideals Interval valued fuzzy weak bi-ideals Mathematics Subject Classiﬁcation 18B40 03E72 16D25 1 Introduction The fundamental concept of fuzzy set was introduced by Zadeh  in 1965. Again he introduced the notion of interval valued (in short i–v) fuzzy subsets in 1975 where the values of the membership functions are closed intervals of numbers instead of a single value. In 1971, Rosenfeld  introduced fuzzy subgroup and gave some of its properties. In 1991, Abou-Zaid  introduced the notion of fuzzy subnear-rings and ideals in near-rings. Jun and Kim  and Davvaz  applied a few concepts of fuzzy ideals and i–v fuzzy ideals in near-rings. & K. Dhilip Kumar firstname.lastname@example.org M. Ramachandran email@example.com Department of Mathematics, Government Arts and Science College, Sathyamangalam 638 401, Tamilnadu, India Department of
The Journal of Analysis – Springer Journals
Published: May 30, 2018
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