INTUITIONISTIC L-FUZZY RINGS

1
Dr. K. Meena
Dr. K. Meena
2
Dr. K.V.Thomas
Dr. K.V.Thomas
1 P.G. Research Centre in Mathematics

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GJSFR Volume 12 Issue F14

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In this paper we study some generalized properties of Intuitionistic L-fuzzy subrings. In this direction the concept of image and inverse image of an Intuitionistic L-fuzzy set under ring homomorphism are discussed. Further the concept of Intuitionistic L-fuzzy quotient subring and Intuitionistic L-fuzzy ideal of an Intuitionistic L-fuzzy subring are studied. Finally, weak homomorphism, weak isomorphism, homomorphism and isomorphism of an Intuitionistic L-fuzzy subring are introduced and some results are established in this direction.

13 Cites in Articles

References

  1. Krassimir Atanassov (1986). Intuitionistic fuzzy sets.
  2. K Atanassov (1994). New Operations defined over the Intuitionistic fuzzy sets.
  3. Krassimir Atanassov (1999). Applications of Intuitionistic Fuzzy Sets.
  4. D Boyadzhieva,B Kolev,N Netov (2010). Intuitionistic fuzzy data warehouse and some analytical operations.
  5. D Ćoker (1997). An Introduction to Intuitionistic fuzzy topological spaces.
  6. Eulalia Szmidt,Janusz Kacprzyk (2001). Intuitionistic Fuzzy Sets in Some Medical Applications.
  7. Y Jun,K Kim (2002). Intuitionistic fuzzy ideals of semigroups.
  8. Veronika Ivanova,Ditchko Batchvarov,Ani Boneva (2009). A Smart Laparoscopic Instrument with Different Applications.
  9. D Malik,J Mordeson (1992). Extensions of fuzzy subrings and fuzzy ideals.
  10. D Malik,J Mordeson (1998). Fuzzy Commutative Algebra.
  11. K Meena,K Thomas (2011). Intuitionistic L-fuzzy Subrings.
  12. Azriel Rosenfeld (1971). Fuzzy groups.
  13. L Zadeh (1965). Fuzzy sets.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Dr. K. Meena. 2013. \u201cINTUITIONISTIC L-FUZZY RINGS\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F14): .

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Issue Cover
GJSFR Volume 12 Issue F14
Pg. 17- 31
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

January 5, 2013

Language

English

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In this paper we study some generalized properties of Intuitionistic L-fuzzy subrings. In this direction the concept of image and inverse image of an Intuitionistic L-fuzzy set under ring homomorphism are discussed. Further the concept of Intuitionistic L-fuzzy quotient subring and Intuitionistic L-fuzzy ideal of an Intuitionistic L-fuzzy subring are studied. Finally, weak homomorphism, weak isomorphism, homomorphism and isomorphism of an Intuitionistic L-fuzzy subring are introduced and some results are established in this direction.

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INTUITIONISTIC L-FUZZY RINGS

Dr. K. Meena
Dr. K. Meena P.G. Research Centre in Mathematics
Dr. K.V.Thomas
Dr. K.V.Thomas

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