ON METHODS OF COUNTING PREFERENTIAL FUZZY SUBGROUPS

V. Murali (South Africa) and B. B. Makamba (South Africa)

Received August 27, 2007

References:

[1] B. B. Makamba and V. Murali, Pinned-flags of some operations on fuzzy subgroups, Int. J. Math. Math. Sci. 23 (2005), 3819-3826. [2] V. Murali and B. B. Makamba, On an equivalence of fuzzy subgroups I, Fuzzy Sets and Systems 123 (2001), 259-264. [3] V. Murali and B. B. Makamba, Finite fuzzy sets, Int. J. Gen. Syst. 34 (2005), 61-75. [4] S. Ray, Isomorphic fuzzy groups, Fuzzy Sets and Systems 50 (1992), 201-207. [5] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517. [6] G. C. Rota, On the foundations of combinatorial theory I, Theory of Mobius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 340-368. [7] Sh. Salili and M. Mashinchi, On fuzzy isomorphism, J. Fuzzy Math. 4(1) (1996), 39-49. [8] T. Stehling, On computing the number of subgroups of a finite Abelian group, Combinatorica 12 (1992), 475-479. [9] F. Vogt, Subgroup Lattices of Finite Abelian Groups: Structure and Cardinality, Lattice Theory and Applications, Darmstadt, 1991, pp. 241-259.

Keywords and phrases: preferential, fuzzy subgroup, maximal chain, keychain, pinned-flag.