Korean J. Math. Vol. 28 No. 3 (2020) pp.509-524
DOI: https://doi.org/10.11568/kjm.2020.28.3.509

Closure filters and prime fuzzy closure filters of $MS-$algebras

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Published: Sep 30, 2020
Keywords:
MS-algebras, boosters, fuzzy closure filter, maximal fuzzy clo- sure filter, prime fuzzy closure filter.
Mathematics Subject Classification:
06D99, 06D05, 06D30.

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Rafi Noorbhasha
Department of Mathematics, Bapatla Engineering College Bapatla, Andhra Pradesh 522101, India
Ravikumar Bandaru
Department of Mathematics, GITAM(Deemed to be University) Hyderabad Campus, Telangana 502 329, India
Kar Ping Shum
School of Mathematics and Statistics, Southwest University Chongqing, Beibai, P.R.CHINA

Abstract

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.



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References

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