Some Properties of Superfuzzy Subset of a Fuzzy Subset
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32797
Some Properties of Superfuzzy Subset of a Fuzzy Subset

Authors: Hassan Naraghi

Abstract:

In this paper, we define permutable and mutually permutable fuzzy subgroups of a group. Then we study their relation with permutable and mutually permutable subgroups of a group. Also we study some properties of fuzzy quasinormal subgroup. We define superfuzzy subset of a fuzzy subset and we study some properties of superfuzzy subset of a fuzzy subset.

Keywords: Permutable fuzzy subgroup, mutually permutable fuzzy subgroup, fuzzy quasinormal subgroup, superfuzzy subset.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079614

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1162

References:


[1] N. AJMAL, K. V. THOMAS, The join of fuzzy algebra substruuctures of a group and their lattices, Fuzzy sets and system. 99(1998), 213-224.
[2] A. BALLESTER-BOLINCHES, M. D. PE-REZ-RAMOS AND M. C. PEDRAZA-AGUILERA, Mutually Permutable Products of Finite Groups, Journal of Algebra. 213(1999), 369-377.
[3] A.CAROCCA, p-supersolvability of factorized finite groups, Hokkaido Math.J. 21(1992), 395-403.
[4] JOHN. N. MORDESON AND D. S. MALIK,ÔÇÿ Fuzzy Commutative AlgebraÔÇÿ, World Scientific publishing Co. Pte. Ltd. (1995).
[5] JOHN. N. MORDESON AND KIRAN R. BHUTANI. AZRIEL ROSENFELD,ÔÇÿ Fuzzy Group TheoryÔÇÿ, Springer Berlin Heidelberg New York. (2005).
[6] A.ROSENFELD, Fuzzy groups, J.Math.Anal.Appl. 35(1971), 512-517.
[7] L.A.ZADEH, Fuzzy sets, Inform.Control. 8(1965), 338-353.