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Measuring Technology and Mechatronics Automation in Electrical Engineering pp 221–226Cite as

(∈, ∈ Vq)-Fuzzy LI-Ideals in Lattice Implication Algebras

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 135))

Abstract

By using the concept of quasi-coincidence of a fuzzy point with a fuzzy set, the notions of \( ( \in , \in \vee q) \)-fuzzy \( LI \)-ideals, which is generalization of ordinary fuzzy \( LI \)-ideal in lattice implication algebras, is defined, and their related properties and equivalent descriptions are discussed. The product and the projections of \( ( \in , \in \vee q) \)-fuzzy \( LI \)-ideals are investigated. How to deal with the lattice implication homomorphic image and inverse image of \( ( \in , \in \vee q) \)-fuzzy \( LI \)-ideals are studied.

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Authors and Affiliations

  1. Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang, 641112, China

    Jiayin Peng

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  1. Jiayin Peng
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Correspondence to Jiayin Peng .

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Editors and Affiliations

  1. , Deptartment of Automobile, Changsha University of Science and Techn, Chiling Road, Tianxin District 45, Changsha, Hunan, 410014, China, People's Republic

    Zhixiang Hou

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Peng, J. (2012). (∈, ∈ Vq)-Fuzzy LI-Ideals in Lattice Implication Algebras. In: Hou, Z. (eds) Measuring Technology and Mechatronics Automation in Electrical Engineering. Lecture Notes in Electrical Engineering, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2185-6_27

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  • DOI: https://doi.org/10.1007/978-1-4614-2185-6_27

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-2184-9

  • Online ISBN: 978-1-4614-2185-6

  • eBook Packages: EngineeringEngineering (R0)

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