The Semiring Properties of Fuzzy Algebras
Rings and Algebras
2010-03-15 v3 Commutative Algebra
Logic
Abstract
The relationship between fuzzy algebras and semirings is explored with fuzzy algebra operators replacing the arithmetic operators of semirings. A new class of fuzzy structures which are similar to semirings is defined. Results of partial ordering on fuzzy algebras are shown. The zero-sum free property of semirings on fuzzy structures is shown. The semiring property of homomorphism is mapped to fuzzy structures and results like order- and operator-preservation are described.
Keywords
Cite
@article{arxiv.0905.2510,
title = {The Semiring Properties of Fuzzy Algebras},
author = {V. S. S. Kartikeya Vanamali and Shrisha Rao},
journal= {arXiv preprint arXiv:0905.2510},
year = {2010}
}
Comments
The paper is withdrawn due to multiple errors that have been pointed to us by referees.