The Semiring Properties of Fuzzy Algebras

Details The Semiring Properties of Fuzzy Algebras The Semiring Properties of Fuzzy Algebras

2009-05-15

arxiv.org/abs/0905.2510v3

Mathematics

Rings and Algebras

The paper is withdrawn due to multiple errors that have been pointed to us by referees.

Scientific paper

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.

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