Some properties of fuzzy soft groups
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The aim of this paper is two folded. Firstly, we have defined the order of an element of a fuzzy soft group and the order of an e-approximate element of a fuzzy soft group with respect to some parameters and secondly, we have introduced the notion of a fuzzy soft cyclic group with respect to some parameters. Some theorems related to these concepts have been developed. To justify the existence of these definitions and theorems some examples have been also provided.
Abstract
The aim of this paper is two folded. Firstly, we have defined the order of an element of a fuzzy soft group and the order of an e-approximate element of a fuzzy soft group with respect to some parameters and secondly, we have introduced the notion of a fuzzy soft cyclic group with respect to some parameters. Some theorems related to these concepts have been developed. To justify the existence of these definitions and theorems some examples have been also provided.
참고문헌 (30)
- A. Abdulkadir, "Introduction to Fuzzy Soft Groups", Computers and Mathematics with Applications, 58, pp.1279~1286 (2009)
- T. Abrahm, "Fuzzification of Cayley's and Lagrange's Theorems", J. Comp. Math. Sci, 1(1), pp.41~46 (2009)
- H. Aktas, "Generalized Product of Fuzzy Subgroups and t-Level Subgroups", Mathematical Communications, 11, pp.121~128 (2006)
- H. Aktas, "Soft sets and Soft Groups", Inform. Sci, 177, pp.2726~2735 (2007)
- H. Aktas, "Cyclic Soft Groups and Their Applications on Groups", The Scientific World Journal, 2014 (2014)
- J. M. Anthony, "Fuzzy groups redefined", J. Math. Anal. Appl, 69, pp.124~130 (1979)
- M. Aslam, "Some contributions to soft groups", Ann. Fuzzy Math. Inform, 4(1), pp.177~195 (2012)
- K. T. Atanassov, "Intuitionistic Fuzzy Sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
- T. M. Basu, "A Balanced Solution of a Fuzzy Soft Set Based Decision Making Problem in Medical Science", Applied Soft Computing Journal, 12(10), pp.3260~3275 (2012)
- P. S. Das, "Fuzzy groups and level subgroups", J. Math. Anal. Appl, 84, pp.264~269 (1981)
- F. Feng, "An Adjustable Approach to Fuzzy Soft Set Based Decision Making", Journal of Computational and Applied Mathematics, 234, pp.10~20 (2010)
- W. Gau, "Vague Sets, IEEE Transactions on Systems", Man and Cybernetics, 23(2), pp.610~614 (1993)
- A. J. Kamble, "A Note on Some Fuzzy Algebraic Structures", International Journal of Fuzzy Mathematics and Systems, 4(2), pp.219~226 (2014)
- Z. Kong, "Comment on a "fuzzy soft set theoritic approach to deccision making problems"", Journal of Computational and Applied Mathematics, 223, pp.540~542 (2009)
- Z. Kong, "Application of fuzzy soft set in decision making problems based on grey theory", Journal of Computational and Applied Mathematics, 236(6), pp.1521~1530 (2011)
- Y. Liu, "General Fuzzy soft Groups and Fuzzy Normal Soft Groups", Ann. Fuzzy Math. Inform, 6(2), pp.391~400 (2013)
- P. K. Maji, "Fuzzy Soft Sets", J. Fuzzy Math, 9(3), pp.589~602 (2001)
- P. K. Maji, "An application of Soft Sets in a Decision Making Problem", Computers and Mathmatics with Applications, 44(8-9), pp.1077~1083 (2002)
- P. K. Maji, "Soft Set Theory, an application of soft sets in a decision making problem", Computers and Mathmatics with Applications, 45(4-5), pp.555~562 (2003)
- P. K. Maji, "A Fuzzy Soft Set Theoretic Approach to Decision Making Problems", Journal of Computational and Applied Mathematics, 203, pp.412~418 (2007)
- S. V. Manemaran, "On Fuzzy Soft Groups", International Journal of Computer Applications, 15(7), pp.38~44 (2011)
- A. S. Mattam, "Factor Group of a Fuzzy Soft Group", IOSR Journal of Mathematics, 10(3), pp.09~16 (2014)
- K. Moinuddin, "A Novel Approach: Soft Groups", International Journal of Algebra, 9(2), pp.79~83 (2015)
- D. Molodsov, "Soft Set Theory-First results", Computer and Mathematics with Applications, 37(4-5), pp.19~31 (1999)
- Z. Pawlak, "Rough Sets", International Journal of Information and Computer Sciences, 11, pp.341~356 (1982)
- A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
- N. Sarala, "Some Properties of Fuzzy Soft Groups", IOSR Journal of Mathematics, 10(2), pp.36~40 (2014)
- V. Ulucay, "Soft representation of soft groups", New Trends in Mathematical Sciences, 2, pp.23~29 (2016)
- X. Yuan, "Fuzzy Group Based on Fuzzy Binary Operations", Computers and Mathematics with Applications, 47(4-5), pp.631~641 (2004)
- L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)
