Fuzzy Filters of Meet-semilattices


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Authors

  • Ch. Santhi Sundar Raj Department of Engineering Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • B. Subrahmanyam Department of Engineering Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • U. M. Swamy Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

Keywords:

Meet-semilattice, join-semilattice, fuzzy filter, fuzzy ideal, frame, algebraic fuzzy system

Abstract

The notion of fuzzy filter of a meet-semilattice with truth values in a general frame is introduced and proved certain properties of these. In particular, it is prove that the fuzzy filters form an algebraic fuzzy system. Also, we have established a procedure to construct any fuzzy filter form a given family of filters with certain conditions. Dually, in this paper the notion of fuzzy ideal of a join-semilattice is introduced and discussed certain properties of these, which are analogues to those of fuzzy filters of meet-semilattices.

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Published

15-09-2019

How to Cite

Ch. Santhi Sundar Raj, B. Subrahmanyam, & U. M. Swamy. (2019). Fuzzy Filters of Meet-semilattices. International Journal of Mathematics And Its Applications, 7(3), 67–76. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/230

Issue

Vol. 7 No. 3 (2019)

Section

Research Article

License

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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