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The category of algebraic fuzzy closure L-systems on fuzzy complete lattices

Published: 01 January 2017 Publication History

Abstract

Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L-systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L-systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L-system spaces.

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          Published In

          cover image Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
          Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology  Volume 32, Issue 1
          2017
          1104 pages

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          IOS Press

          Netherlands

          Publication History

          Published: 01 January 2017

          Author Tags

          1. (Algebraic) fuzzy closure operators
          2. (Algebraic) fuzzy closure L-systems
          3. fuzzy complete lattices
          4. category

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