FUZZY FILTERS ON THE RESIDUATED LATTICES-Reference-Cited by-同舟云学术

FUZZY FILTERS ON THE RESIDUATED LATTICES

Published:2006-03 Issue:01 Volume:02 Page:11-28
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

ZHANG JIA-LU¹,ZHOU HONG-JUN²

Affiliation:

1. Department of Mathematics, Xiangnan University, Chenzhou, Hunan, 423000, P. R. China

2. Institute of Mathematics, Shanxi Normal University, Xi'an, 710062, P. R. China

Abstract

In this paper, the lattice operations and the adjoint pair on the fuzzy filters set on residuated lattices are defined, the conclusion that the fuzzy filters lattice defined as such is a distributive residuated lattice is obtained. An order-reversing involution on the fuzzy strong-prime filters sublattice is introduced. It is proved that the fuzzy strong-prime filters sublattice is a quasi-Boolean algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793005706000373

Reference14 articles.

1. On Fuzzy Logic II. Enriched residuated lattices and semantics of propositional calculi

2. Metamathematics of Fuzzy Logic

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