Vague positive implicative filter of BL- algebras

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DOI:

https://doi.org/10.26637/MJM0801/0028

Abstract


In this paper, the concept of vague positive implicative filter (VPIF) of BL-algebra is introduced. Investigate
some important properties of vague positive implicative filter (VPIF) of BL-algebras with illustrations. Further, we discuss some equivalent conditions of vague filter (VF) of BL-algebras. Finally, we obtain the necessary condition of vague Boolean filter (VBF) is a vague positive implicative filter (VPIF).

Keywords:

BL-algebra, Filter, Vague set (VS), Vague Filter (VF), Vague Boolean Filter (VBF), Vague positive implicative filter (VPIF)

Mathematics Subject Classification:

Mathematics
  • S. Yahya Mohamed PG and Research Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli-620020, Tamil Nadu, India.
  • P. Umamaheswari Research Scholar, PG and Research Department of Mathematics, Government Arts College, Affiliated to Bharathidasan University, Tiruchirappalli-620020, Tamil Nadu, India.
  • Pages: 166-170
  • Date Published: 01-01-2020
  • Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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Published

01-01-2020

How to Cite

S. Yahya Mohamed, and P. Umamaheswari. “Vague Positive Implicative Filter of BL- Algebras”. Malaya Journal of Matematik, vol. 8, no. 01, Jan. 2020, pp. 166-70, doi:10.26637/MJM0801/0028.