In this paper, the concept of (α,β)- inf-sup Q-fuzzy set is generalized and there after we defined (α,β)- inf-sup Q-fuzzy group and a few of its properties are discussed. On the other hand we give the definition of the upper normal Q- fuzzy subgroups, and study the main theorem for this. We also give new results on this subject. Characterization of inf-sup normal Q-fuzzy subgroups also investigated.
| Published in | Applied and Computational Mathematics (Volume 3, Issue 6) |
| DOI | 10.11648/j.acm.20140306.13 |
| Page(s) | 303-306 |
| 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, (α,β)- Inf-Sup Q-Fuzzy Group, (α,β)- Inf-Sup Q-Fuzzy Normal Subgroups, Q-Fuzzy Subset, Fuzzy Group
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APA Style
R. Nagarajan, K. Balamurugan. (2014). (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1]). Applied and Computational Mathematics, 3(6), 303-306. https://doi.org/10.11648/j.acm.20140306.13
ACS Style
R. Nagarajan; K. Balamurugan. (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1]). Appl. Comput. Math. 2014, 3(6), 303-306. doi: 10.11648/j.acm.20140306.13
AMA Style
R. Nagarajan, K. Balamurugan. (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1]). Appl Comput Math. 2014;3(6):303-306. doi: 10.11648/j.acm.20140306.13
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Download@article{10.11648/j.acm.20140306.13,
author = {R. Nagarajan and K. Balamurugan},
title = {(α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1])},
journal = {Applied and Computational Mathematics},
volume = {3},
number = {6},
pages = {303-306},
doi = {10.11648/j.acm.20140306.13},
url = {https://doi.org/10.11648/j.acm.20140306.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140306.13},
abstract = {In this paper, the concept of (α,β)- inf-sup Q-fuzzy set is generalized and there after we defined (α,β)- inf-sup Q-fuzzy group and a few of its properties are discussed. On the other hand we give the definition of the upper normal Q- fuzzy subgroups, and study the main theorem for this. We also give new results on this subject. Characterization of inf-sup normal Q-fuzzy subgroups also investigated.},
year = {2014}
}
TY - JOUR T1 - (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1]) AU - R. Nagarajan AU - K. Balamurugan Y1 - 2014/12/23 PY - 2014 N1 - https://doi.org/10.11648/j.acm.20140306.13 DO - 10.11648/j.acm.20140306.13 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 303 EP - 306 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20140306.13 AB - In this paper, the concept of (α,β)- inf-sup Q-fuzzy set is generalized and there after we defined (α,β)- inf-sup Q-fuzzy group and a few of its properties are discussed. On the other hand we give the definition of the upper normal Q- fuzzy subgroups, and study the main theorem for this. We also give new results on this subject. Characterization of inf-sup normal Q-fuzzy subgroups also investigated. VL - 3 IS - 6 ER -
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