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{{issue/title
{{issue/title
  | title          = Some properties of intuitionistic fuzzy primary and semiprimary ideals
  | title          = Some properties of intuitionistic fuzzy primary and semiprimary ideals
  | shortcut        = nifs/18/3/68—74
  | shortcut        = nifs/18/3/68-74
}}
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{{issue/author
{{issue/author
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  | conference      = 16<sup>th</sup> [[ICIFS]], Sofia, 9-10 September 2012
  | conference      = 16<sup>th</sup> [[ICIFS]], Sofia, 9-10 September 2012
  | issue          = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/18/3|"Notes on IFS", Volume 18 (2012) Number 3]], pages 68—74
  | issue          = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/18/3|"Notes on IFS", Volume 18 (2012) Number 3]], pages 68—74
  | file            = NIFS-18-3-68—74.pdf
  | file            = NIFS-18-3-68-74.pdf
  | format          = PDF
  | format          = PDF
  | size            = 116
  | size            = 116
  | abstract        = In this paper, some properties of intuitionistic fuzzy primary ideals as well as
  | abstract        = In this paper, some properties of intuitionistic fuzzy primary ideals as well as intuitionistic semiprimary ideal were defined. We also proved some results based on the properties of intuitionistic fuzzy primary and semiprimary ideals.
intuitionistic semiprimary ideal were defined. We also proved some results based on the
  | keywords        = [[Intuitionistic fuzzy set]], intuitionistic fuzzy primary ideal, intuitionistic fuzzy semiprimary ideal.
properties of intuitionistic fuzzy primary and semiprimary ideals.
  | keywords        = Intuitionistic fuzzy set, intuitionistic fuzzy primary ideal, intuitionistic fuzzy semiprimary ideal.
  | ams            = 03F55, 20N25, 08A72
  | ams            = 03F55, 20N25, 08A72
  | references      =  
  | references      =  


# Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
# Atanassov, K., [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
# Atanassov, K., New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 61, 1994, 137–142.
# Atanassov, K., [[Issue:New operations defined over the intuitionistic fuzzy sets|New operations defined over the intuitionistic fuzzy sets]], Fuzzy Sets and Systems, Vol. 61, 1994, 137–142.
# Chakrabarty, K., R. Biswas, S. Nanda, A note on union and intersection of intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 3, 1997, No. 4, 34–39.
# Chakrabarty, K., R. Biswas, S. Nanda, [[Issue:A note on union and intersection of intuitionistic fuzzy sets|A note on union and intersection of intuitionistic fuzzy sets]], Notes on Intuitionistic Fuzzy Sets, Vol. 3, 1997, No. 4, 34–39.
# Kog, A., E. Balkanay, θ-Euclidean L-fuzzy ideals of rings, Turkish Journal of Mathematics, Vol. 26, 2002, 149–158.
# Kog, A., E. Balkanay, θ-Euclidean L-fuzzy ideals of rings, Turkish Journal of Mathematics, Vol. 26, 2002, 149–158.
# Kumbhojkar.H.V., and Bapat.M.S., Correspondence theorem for fuzzy ideals, Fuzzy sets and systems, (1991).
# Kumbhojkar.H.V., and Bapat.M.S., Correspondence theorem for fuzzy ideals, Fuzzy sets and systems, (1991).
# Atallah, M. M., On the L-fuzzy prime ideal theorem of distributive lattices, The Journal of Fuzzy Mathematics, Vol. 9, 2001, No. 4, 825–831.
# Atallah, M. M., On the L-fuzzy prime ideal theorem of distributive lattices, The Journal of Fuzzy Mathematics, Vol. 9, 2001, No. 4, 825–831.
# Palanivelrajan, M., S. Nandakumar, Intuitionistic Fuzzy Primary and Semiprimary Ideal,
# Palanivelrajan, M., S. Nandakumar, Intuitionistic Fuzzy Primary and Semiprimary Ideal, Indian Journal of Applied Research, Vol. 1, 2012, No. 5, 159–160.
Indian Journal of Applied Research, Vol. 1, 2012, No. 5, 159–160.
# Palanivelrajan, M., S. Nandakumar, Some Operations of Intuitionistic Fuzzy Primary and Semiprimary Ideal, Asian Journal of Algebra, 2012 (in print).
# Palanivelrajan, M., S. Nandakumar, Some Operations of Intuitionistic Fuzzy Primary and Semiprimary Ideal, Asian Journal of Algebra, 2012 (in print).
# Kumar, R., Fuzzy irreducible ideals in rings, Fuzzy Sets and Systems, Vol. 42, 1991,369–379.
# Kumar, R., Fuzzy irreducible ideals in rings, Fuzzy Sets and Systems, Vol. 42, 1991,369–379.
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# Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
# Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.


| citations      =


| citations      =
# VEERAMMAL, P., and G. VELAMMAL. [http://www.ijma.info/index.php/ijma/article/view/5294 "INTUITIONISTIC L-FUZZY ALMOST IDEALS."] International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 197-203.
  | see-also        =  
  | see-also        =  
}}
}}

Latest revision as of 12:27, 25 December 2018

shortcut
http://ifigenia.org/wiki/issue:nifs/18/3/68-74
Title of paper: Some properties of intuitionistic fuzzy primary and semiprimary ideals
Author(s):
M. Palanivelrajan
Department of Mathematics, Government Arts College, Paramakudi – 623 707, India
palanivelrajan1975@gmail.com
S. Nandakumar
Department of Mathematics, Government Arts College, Ariyalur – 621 713, India
udmnanda@gmail.com
Presented at: 16th ICIFS, Sofia, 9-10 September 2012
Published in: Conference proceedings, "Notes on IFS", Volume 18 (2012) Number 3, pages 68—74
Download:  PDF (116  Kb, Info)
Abstract: In this paper, some properties of intuitionistic fuzzy primary ideals as well as intuitionistic semiprimary ideal were defined. We also proved some results based on the properties of intuitionistic fuzzy primary and semiprimary ideals.
Keywords: Intuitionistic fuzzy set, intuitionistic fuzzy primary ideal, intuitionistic fuzzy semiprimary ideal.
AMS Classification: 03F55, 20N25, 08A72
References:
  1. Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
  2. Atanassov, K., New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 61, 1994, 137–142.
  3. Chakrabarty, K., R. Biswas, S. Nanda, A note on union and intersection of intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 3, 1997, No. 4, 34–39.
  4. Kog, A., E. Balkanay, θ-Euclidean L-fuzzy ideals of rings, Turkish Journal of Mathematics, Vol. 26, 2002, 149–158.
  5. Kumbhojkar.H.V., and Bapat.M.S., Correspondence theorem for fuzzy ideals, Fuzzy sets and systems, (1991).
  6. Atallah, M. M., On the L-fuzzy prime ideal theorem of distributive lattices, The Journal of Fuzzy Mathematics, Vol. 9, 2001, No. 4, 825–831.
  7. Palanivelrajan, M., S. Nandakumar, Intuitionistic Fuzzy Primary and Semiprimary Ideal, Indian Journal of Applied Research, Vol. 1, 2012, No. 5, 159–160.
  8. Palanivelrajan, M., S. Nandakumar, Some Operations of Intuitionistic Fuzzy Primary and Semiprimary Ideal, Asian Journal of Algebra, 2012 (in print).
  9. Kumar, R., Fuzzy irreducible ideals in rings, Fuzzy Sets and Systems, Vol. 42, 1991,369–379.
  10. Lehmke, S., Some properties of fuzzy ideals on a lattice, Proc. of the 6th IEEE Int. Conf.on Fuzzy Systems, Vol. 2, 1997, 813–818.
  11. Bo, Y., W. Wangming, Fuzzy ideals on a distributive lattice, Fuzzy Sets and Systems,Vol. 35, 1990, 231–240.
  12. Zadeh, L. A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
Citations:
  1. VEERAMMAL, P., and G. VELAMMAL. "INTUITIONISTIC L-FUZZY ALMOST IDEALS." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 197-203.

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