Fuzzy Positive Implicative and Fuzzy Associative WI-Ideals of Lattice Wajsberg Algebras
C. Shajitha Begum1, A. Ibrahim2
1C.Shajitha Begum *Research Scholar, P.G and Research Department of Mathematics, H. H. The Rajah‟s College, Pudukkotai, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India.
2A. Ibrahim, Assistant Professor, P.G and Research Department of Mathematics, H. H. The Rajah‟s College, Pudukkotai, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India.
Manuscript received on November 15, 2019. | Revised Manuscript received on November 23, 2019. | Manuscript published on November 30, 2019. | PP: 689-693 | Volume-8 Issue-4, November 2019. | Retrieval Number: C6476098319/2019©BEIESP | DOI: 10.35940/ijrte.C6476.118419
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: We introduce the definitions of fuzzy positive implicative WI-ideal and fuzzy associative WI-ideal of lattice Wajsberg algebra. Further, we prove every fuzzy positive implicative WI-ideal of lattice Wajsberg algebra is a fuzzy WI-ideal. Also, we discuss the relationship between fuzzy positive implicative WI-ideal and level subsets. Moreover, we give the relationship of fuzzy associative WI-ideal with fuzzy WI-ideal in lattice Wajsberg algebra. Finally, we study some characterizations of fuzzy associative WI-ideal.
Keywords: Wajsberg algebra; Lattice Wajsberg algebra; WI-ideal; Implicative WI-ideal; Positive implicative WI-ideal; Associative WI-ideal; Fuzzy positive implicative WI-ideal; Fuzzy associative WI-ideal. Mathematical Subject classification 2010: 03E70, 03E72, 03G10.
Scope of the Article: Classification.