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Some Properties of Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideal


Affiliations
1 Department of Mathematics, Government Arts College, Paramakudi – 623 707, Tamil Nadu, India
2 Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam - 612 001, Tamil Nadu, India
 

In this paper, the theory of fuzzy semiprimary ideal [16] is extended by introducing intuitionistic anti fuzzy primary ideals as well as intuitionistic anti fuzzy semiprimary ideals in rings. Similarly, Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideals (IVIAFLPI) is defined. Various properties of IVIAFLPI are discussed. Finally, Interval-Valued Intuitionistic Fuzzy Lie Semiprimary Ideals (IVIAFLSPI) is established.

Keywords

Intuitionistic Fuzzy Set, Intuitionistic Anti Fuzzy Ideal, Intuitionistic Anti Fuzzy Primary Ideal, Intuitionistic Anti Fuzzy Semi-Primary Ideal, Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideals.
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  • Some Properties of Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideal

Abstract Views: 707  |  PDF Views: 453

Authors

M. Palanivelrajan
Department of Mathematics, Government Arts College, Paramakudi – 623 707, Tamil Nadu, India
K. Gunasekaran
Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam - 612 001, Tamil Nadu, India
E. Adilakshmi
Ramanujan Research Centre, PG and Research Department of Mathematics, Government Arts College (Autonomous), Kumbakonam - 612 001, Tamil Nadu, India

Abstract


In this paper, the theory of fuzzy semiprimary ideal [16] is extended by introducing intuitionistic anti fuzzy primary ideals as well as intuitionistic anti fuzzy semiprimary ideals in rings. Similarly, Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideals (IVIAFLPI) is defined. Various properties of IVIAFLPI are discussed. Finally, Interval-Valued Intuitionistic Fuzzy Lie Semiprimary Ideals (IVIAFLSPI) is established.

Keywords


Intuitionistic Fuzzy Set, Intuitionistic Anti Fuzzy Ideal, Intuitionistic Anti Fuzzy Primary Ideal, Intuitionistic Anti Fuzzy Semi-Primary Ideal, Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideals.

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DOI: https://doi.org/10.15613/sijrs%2F2015%2Fv2i2%2F114280