JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (10): 78-94.doi: 10.6040/j.issn.1671-9352.0.2016.123

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Disturbing fuzzy ideals of BL-algebras

PENG Jia-yin   

  1. School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641199, Sichuan, China
  • Received:2016-03-25 Online:2016-10-20 Published:2016-10-17

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Abstract: Utilizing the notion of disturbing fuzzy sets, the properties of disturbing fuzzy ideals of BL-algebras are investigated. The concept of disturbing fuzzy ideal is introduced and its several properties are studied. A quotient BL-algebra via a disturbing fuzzy ideal is constructed, and the disturbing fuzzy homomorphism fundamental theorem is given. Moreover, a procedure to generate a disturbing fuzzy ideal is given by a disturbing fuzzy set. Some classes of disturbing fuzzy ideals are defined and the relations of them are investigated. Some characterizations of disturbing fuzzy Boolean ideals, disturbing fuzzy prime ideals, disturbing fuzzy irreducible ideals, disturbing fuzzy ultra ideals, disturbing fuzzy Godel ideals are established.

Key words: disturbing fuzzy ultra ideal, disturbing fuzzy obstinate ideal, disturbing fuzzy ideal, disturbing fuzzy irreducible ideal, disturbing fuzzy Godel ideal, disturbing fuzzy Boolean ideal, BL-algebra, disturbing fuzzy prime ideal

CLC Number: 

  • O159
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