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- Sanchita Rothe, Shruti Shete, Rachana Varyani, Sukanya Mulay
- 2014

This paper works on fuzzy min-max classifier neural network implementation. Fuzzy min-max classifier creates hyperboxes for classification. Each fuzzy set hyperbox is an n-dimensional pattern space defined by a min point and max point with a corresponding membership function. The fuzzy min-max algorithm is used to determine the min-max points of the… (More)

- D. Eswara Rao, D. Bharathi, D. F. Anderson, S. Livingston, A. Frazier, Lauve +2 others
- 2014

Let R be a commutative ring with Z(R), its set of zero divisors. The total zero divisor graph of R, denoted Z(?(R)) is the undirected (simple) graph with vertices Z(R)*=Z(R)-{0}, the set of nonzero zero divisors of R. and for distinct x, y ? z(R)*, the vertices x and y are adjacent if and only if x + y ? z(R). In this paper prove that let R is commutative… (More)

- J. Beers, D. Henshaw, C. K. McCall, S. B. Mulay, M. Spindler
- Math. Comput.
- 2012

- J. Beers, D. Henshaw, C. K. McCall, S. B. Mulay, M. Spindler
- Math. Comput.
- 2011

- S. B. Mulay, C. G. Wagner
- Discrete Mathematics
- 1998

Let k be a nonzero, commutative ring with 1, and let R be a k-algebra with a countably-infinite ordered free k-basis B = {pn: n~>0}. We characterize and analyze those bases from which one can construct a k-algebra of 'formal B-series' of the form f= ~c,p,, with cn Ek, showing inter alia that many classical polynomial bases fail to have this property.

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