J4 ›› 2013, Vol. 48 ›› Issue (10): 94-98.

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Interval valued (∈,∈∨ q)fuzzy subalgebras of Boolean algebras

LIU Chun-hui1,2   

  1. 1. Office of Academic Affairs,  Chifeng University,  Chifeng 024001, Inner Mongolia, China;
     2. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China
  • Received:2012-12-29 Published:2013-10-14

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Abstract:

The concept of interval valued (∈,∈∨ q)fuzzy subalgebras is introduced in Boolean algebras and some equivalent characterizations of this concept are given. The properties of homomorphism image and direct product of interval valued (∈,∈∨ q)fuzzy subalgebras in Boolean algebras are discussed. It is proved that the surjective homomorphism image and direct product of interval valued (∈,∈∨ q)fuzzy subalgebras are also interval valued (∈,∈∨ q)fuzzy subalgebras of Boolean algebras, respectively.

Key words: Boolean algebra; interval valued (∈,∈∨ q)fuzzy subalgebra; direct product

CLC Number: 

  • O141.1
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[3] MA Li-Na, WANG Guo-Dun. Theory of truth degrees in Lukasiewicz three valued propositional logic [J]. J4, 2009, 44(10): 54-59.
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