Interval-Valued Intuitionistic L-Fuzzy Strong B -Filters On B -Algebras

D. Ramesh and B. Satyanarayana
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D. Ramesh: Department of Science and Humanities, MVR College of Engineering and Technology, Paritala-521180, Krishna Dist.Andhra Pradesh, India
B. Satyanarayana: Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, Andhra Pradesh, India

Academic Journal of Applied Mathematical Sciences, 2016, vol. 2, issue 9, 135-139

Abstract: In 2002, J. Neggers and H. S. Kim introduced the notion of ?-algebra. The theory of fuzzy sets proposed by L. A. Zadeh in 1965 is generalized in 1986 by K. T. Atanassov an intuitionistic fuzzy sets. The notion of ? -filters was introduced by Henri Cartan in 1937.  In 1991, C.S. Hoo introduced the concept of the ? -filters in BCI-algebras and Satyanarayana, et al. [2], introduced interval-valued intuitionistic fuzzy ideals in BF-algebras.  In this paper, we define the notion of an Interval-valued intuitionistic L-fuzzy strong ? –filters on  ?-algebra and investigate some of their properties.

Keywords: ? -algebras; ? -filters; L-fuzzy strong ? -filters; interval-valued intuitionistic fuzzy sets; Interval-valued intuitionistic L-fuzzy strong ? -filters on ? -algebras. (search for similar items in EconPapers)
Date: 2016
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