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Soft Computing

, Volume 23, Issue 3, pp 907–920 | Cite as

Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups

  • Babushri Srinivas Kedukodi
  • Syam Prasad Kuncham
  • B. JagadeeshaEmail author
Methodologies and Application

Abstract

We introduce interval valued equiprime, 3-prime and c-prime L-fuzzy ideals of a nearring N by using interval valued t-norms and interval valued t-conorms. We characterize interval valued prime L-fuzzy ideals in terms of their level subsets. We define interval valued equisemiprime, 3-semiprime and c-semiprime L-fuzzy ideals of nearrings and study their properties. We find interrelations among different interval valued prime L-fuzzy ideals. We study these concepts further in a partially ordered group and define implications based on interval valued L-fuzzy ideals.

Keywords

Lattice t-norm t-conorm Ideal Equiprime 3-prime c-prime 

Notes

Acknowledgements

We thank the anonymous referees and the editor for their constructive comments and suggestions which improved this paper. All authors acknowledge Manipal University for their encouragement. The third author acknowledges St Joseph Engineering College, Mangaluru, India, for their encouragement.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Babushri Srinivas Kedukodi
    • 1
  • Syam Prasad Kuncham
    • 1
  • B. Jagadeesha
    • 2
    Email author
  1. 1.Department of Mathematics, Manipal Institute of TechnologyManipal UniversityManipalIndia
  2. 2.Department of MathematicsSt Joseph Engineering CollegeVamanjoor, MangaluruIndia

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