Interval valued fuzzy weak bi-ideals of near rings

Interval valued fuzzy weak bi-ideals of near rings 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 [9] 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 [3] introduced fuzzy subgroup and gave some of its properties. In 1991, Abou-Zaid [1] introduced the notion of fuzzy subnear-rings and ideals in near-rings. Jun and Kim [5] and Davvaz [4] applied a few concepts of fuzzy ideals and i–v fuzzy ideals in near-rings. & K. Dhilip Kumar dhilipkumarmaths@gmail.com M. Ramachandran dr.ramachandran64@gmail.com Department of Mathematics, Government Arts and Science College, Sathyamangalam 638 401, Tamilnadu, India Department of http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Interval valued fuzzy weak bi-ideals of near rings

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Publisher
Springer Singapore
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
D.O.I.
10.1007/s41478-018-0087-4
Publisher site
See Article on Publisher Site

Abstract

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 [9] 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 [3] introduced fuzzy subgroup and gave some of its properties. In 1991, Abou-Zaid [1] introduced the notion of fuzzy subnear-rings and ideals in near-rings. Jun and Kim [5] and Davvaz [4] applied a few concepts of fuzzy ideals and i–v fuzzy ideals in near-rings. & K. Dhilip Kumar dhilipkumarmaths@gmail.com M. Ramachandran dr.ramachandran64@gmail.com Department of Mathematics, Government Arts and Science College, Sathyamangalam 638 401, Tamilnadu, India Department of

Journal

The Journal of AnalysisSpringer Journals

Published: May 30, 2018

References

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