In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main theorem for this. We shall also give new results on this subject.
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Applied and Computational Mathematics (Volume 4, Issue 1-2)
This article belongs to the Special Issue New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications |
| DOI | 10.11648/j.acm.s.2015040102.12 |
| Page(s) | 4-9 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Fuzzy Set, Soft Set, Fuzzy Soft Set, (m, n) –Upper Q-Fuzzy Soft Group, Product, Upper Q-Fuzzy Order, Upper Q-Fuzzy Cossets, Upper Q-Fuzzy Index
| [1] | Anthony, J. M. and Sherwood, H. Fuzzy Group Redefined, J. Math.Anal. Appl, 69. 1979), 124 – 130. |
| [2] | Abd-Allah AM, Omer Rak (Fuzzy Partial Groups. Fuzzy Sets and Systems 82: 1996), 369-374. |
| [3] | M.I Ali, F. Feng, X.Y. Liu, W. K. Min, M. Shabir On some new operations in soft set theory,. Computers and Mathematics with Applications 57, (2009) ,1547–1553. |
| [4] | B. Ahmad and A. Kharal, On Fuzzy Soft Sets, Advances in Fuzzy Systems, Volume 2009 |
| [5] | Dib KA, Hassan AM The Fuzzy Normal Subgroups, Fuzzy. Sets and Systems 98,(1998), 393-402. |
| [6] | Dong, B: Direct product of anti fuzzy subgroups. J Shaoxing Teachers College 5, 29–34 (1992). in Chinese. |
| [7] | D. A. Molodtsov, Soft Set Theory - First Result, Computers and Mathematics with Applications, Vol. 37, (1999), pp. 19-31. |
| [8] | P. K. Maji and A.R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45 (2003) ,555 – 562. |
| [9] | P. K. Maji, R. Biswas and A.R. Roy, Fuzzy Soft Sets, Journal of Fuzzy Mathematics, Vol 9 , no.3, (2001), pp.-589-602. |
| [10] | Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl, 35. (1971), 512 – 517. |
| [11] | Shen, Z: The anti-fuzzy subgroup of a group. J Liaoning Normat Univ (Nat Sci) 18(2): (1995). 99–101 in Chinese |
| [12] | A.Solairaju and R,Nagarajan ,A New structure and constructions of Q- fuzzy group, Advances in Fuzzy Mathematics, Vol.4, No.1 (2009), 23-29. |
| [13] | A.Solairaju and R,Nagarajan ,Some Structure Properties of Upper Q-fuzzy Index order with upper Q-fuzzy subgroups, International Journal of Open Problems and Applications, Vol.3, No.1(2011), 21-29. |
| [14] | A.Solairaju and R,Nagarajan Anti Q- fuzzy G-modular distributive lattices, International Journal of Mathematical Archive, Vol.3, No.4(2012), 1-9. |
| [15] | A.Solairaju and R,Nagarajan On Bipolar Anti Q-fuzzy group, International Journal of Computer Applications, Vol.15,No.6(2010), 30-34. |
| [16] | G.Subbiah and R.Nagarajan , Degrees of Q-fuzzy group over implication Operator [0,1], Elixir Applied Mathematics, Vol.63(2013) 18350-18352 |
| [17] | Yuan, X, Zhang, C, Ren, Y: Generalized fuzzy groups and many-valued implications. Fuzzy Sets Syst. 138, (2003),205–211 |
| [18] | Yao, B: (λ, μ)-fuzzy normal subgroups and (λ, μ)-fuzzy quotient subgroups. J Fuzzy Math. 13(3),(2005),695–705. |
| [19] | Yao, B: (λ, μ)-fuzzy subrings and (λ, μ)-fuzzy ideals. J Fuzzy Math. 15(4), (2007),981–987 |
| [20] | Zadeh , L . A. Fuzzy sets , Inform . and Control, 8, (1965),338 – 353. |
APA Style
Rathinam Nagarajan, K. Venugopal. (2014). ON (m, n) –Upper Q-Fuzzy Soft Subgroups. Applied and Computational Mathematics, 4(1-2), 4-9. https://doi.org/10.11648/j.acm.s.2015040102.12
ACS Style
Rathinam Nagarajan; K. Venugopal. ON (m, n) –Upper Q-Fuzzy Soft Subgroups. Appl. Comput. Math. 2014, 4(1-2), 4-9. doi: 10.11648/j.acm.s.2015040102.12
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Download@article{10.11648/j.acm.s.2015040102.12,
author = {Rathinam Nagarajan and K. Venugopal},
title = {ON (m, n) –Upper Q-Fuzzy Soft Subgroups},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {1-2},
pages = {4-9},
doi = {10.11648/j.acm.s.2015040102.12},
url = {https://doi.org/10.11648/j.acm.s.2015040102.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2015040102.12},
abstract = {In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main theorem for this. We shall also give new results on this subject.},
year = {2014}
}
TY - JOUR T1 - ON (m, n) –Upper Q-Fuzzy Soft Subgroups AU - Rathinam Nagarajan AU - K. Venugopal Y1 - 2014/11/03 PY - 2014 N1 - https://doi.org/10.11648/j.acm.s.2015040102.12 DO - 10.11648/j.acm.s.2015040102.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 4 EP - 9 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.s.2015040102.12 AB - In this paper we shall study some properties for upper Q- fuzzy subgroups, some lemma and theorem for this subject. We shall study the upper Q- fuzzy index with the upper fuzzy sub groups; also we shall give some new definitions for this subject. On the other hand we shall give the definition of the upper normal fuzzy subgroups, and study the main theorem for this. We shall also give new results on this subject. VL - 4 IS - 1-2 ER -
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