On a New Notation of Fuzzy Subgroup
Sudipta Gayen1, Sripati Jha2, Manoranjan Singh3, Ranjan Kumar4
1Sudipta Gayen, Department of Mathematics, National Institute of Technology Jamshedpur, India.
2Sripati Jha, Department of Mathematics, National Institute of Technology Jamshedpur, India.
3Manoranjan Singh, Department of Mathematics, Magadh University, Bodhgaya, Gaya, India.
4Ranjan Kumar, Department of Mathematics, National Institute of Technology Jamshedpur, India.
Manuscript received on 27 May 2019 | Revised Manuscript received on 02 June 2019 | Manuscript published on 30 June 2019 | PP: 2476-2481 | Volume-8 Issue-8, June 2019 | Retrieval Number: H7088068819/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The concept of fuzzy subgroup has been investigated and analysed under a different condition. It will be observed that the result discussed in this paper is more appealing than the previously defined ones. To establish that a graphical comparison and some examples are given. Under the proposed definition some important results of the fuzzy subgroup are verified and some new interesting results are observed. Further, a modified notion of the level subgroup is given.
Keywords: Fuzzy Subgroup, Level Set, Level Subgroup.
Scope of the Article: Fuzzy Logics