IJPAM: Volume 105, No. 1 (2015)

VAGUE POSITIVE IMPLICATIVE AND VAGUE ASSOCIATIVE
LI - IDEALS OF LATTICE IMPLICATION ALGEBRAS

T. Anitha$^1$, Babu V. Amarendra$^2$
$^1$Department of Mathematics
K.L. University
Vaddeswaram, Guntur, 522 502, INDIA
$^2$Department of Mathematics
Achraya Nagarjuna University
Nagarjuna Nagar, 522510, INDIA


Abstract. We vaguefy the concepts of positive implicative LI - ideals and associative LI - ideals of lattice implication algebras. We investigate the connections to related classes. Also we provide the equivalent conditions for both vague positive implicative LI - ideals and vague associative LI - ideals. Extension property of a vague positive implicative LI - ideal is built. Also We studied some equivalent conditions for vague implicative LI - ideals.And finally, we prove that in a lattice implication algebra, the concepts of vague implicative and vague positive implicative LI - ideals coincide.

Received: July 17, 2015

AMS Subject Classification: 03G10, 08A72, 03E72

Key Words and Phrases: lattice implication algebras, VLI - ideals, VILI - ideals, VPILI - ideals and vague associative LI - ideals

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DOI: 10.12732/ijpam.v105i1.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 1
Pages: 39 - 57


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