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

Rafi Noorbhasha, Ravikumar Bandaru, Kar Ping Shum

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.


Keywords


MS-algebras, boosters, fuzzy closure filter, maximal fuzzy clo- sure filter, prime fuzzy closure filter.

Subject classification

06D99, 06D05, 06D30.

Sponsor(s)



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