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

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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.

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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.

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Authors and Affiliations

  1. Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka, 576104, India

    Babushri Srinivas Kedukodi & Syam Prasad Kuncham

  2. Department of Mathematics, St Joseph Engineering College, Vamanjoor, Mangaluru, Karnataka, 575028, India

    B. Jagadeesha

Authors
  1. Babushri Srinivas Kedukodi
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  2. Syam Prasad Kuncham
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  3. B. Jagadeesha
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Correspondence to B. Jagadeesha.

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Communicated by V. Loia.

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Kedukodi, B.S., Kuncham, S.P. & Jagadeesha, B. Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups. Soft Comput 23, 907–920 (2019). https://doi.org/10.1007/s00500-017-2798-x

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