NDLI: On fuzzy filters of CI-algebras

Content Provider	IEEE Xplore Digital Library
Author	Wei Wang Kuan-kuan Zhao Yang Xu
Copyright Year	2015
Description	Author affiliation: Sch. of Sci., Xi'an Shiyou Univ., Xi'an, China (Wei Wang; Kuan-kuan Zhao) \|\| Coll. of Electr. Eng., Southwest Jiaotong Univ., Chengdu, China (Yang Xu)
Abstract	In this paper after first introducing the fuzzy filter of CI-algebras we get several properties, we find that the notions of N-structured subalgebras, N-structured filters of CI-algebra and some of their basic properties and results are direct results on fuzzy filter of CI-algebra. Next we recall the contents of the filters in pseudo BL algebra. By exploring the equivalent condition of fuzzy normal filter, an open problem between two kinds of filters was solved. Jun and Xu et al. proved that in lattice implication algebra a positive implicative filter is implicative, and set the converse of it as an open problem. For the third part of this paper, we define the corresponding fuzzy filters and inspired by the fuzzy results we solve the open problem.
Starting Page	113
Ending Page	117
File Size	210675
Page Count	5
File Format	PDF
e-ISBN	9781467376822
DOI	10.1109/FSKD.2015.7381925
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-08-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electrical engineering N-filters lattice implication algebra Lattices N-structured subalgebras fuzzy filter positive implicative filter Calculus Cognition Fuzzy logic filter CI-algebra Algebra implicative filters Yttrium normal filter
Content Type	Text
Resource Type	Article

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Positive implicative and associative filters of lattice implication algebras.

© Hindawi Publishing Corp. ON n-FOLD IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS (2000)

© Hindawi Publishing Corp. SOME OPERATIONS ON LATTICE IMPLICATION ALGEBRAS (2000)

On fuzzy fantastic filters of lattice implication algebras

Intuitionistic fuzzy filter of lattice implication algebras

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On (∈,∈ ∨ q)-Fuzzy Filters of Pseudo-BL Algebras

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