Abstract (EN)
In this thesis the concept of hypermodule of classical algebra is analyzed within the context of the fuzzy algebra. Initially, the basic properties and theorems are given about the classical algebra and fuzzy algebra. We gave the basic definitions related to clasical algebra; groups, rings, homomorphism, ideal, module, hypergroup and hyperring. Then fuzzy set is defined and fuzzy subgroup, fuzzy subring, fuzzy subideals and fuzzy submodules are demostrated together with definitons and theorems. In the last cheapter the theorems and definitons related to fuzzy hypoermodules and some theorem's proofs had been given. Moving from this point, it has been noted that how a fuzzy hypermodule structure should be formed. Then the relation between fuzzy hypermodules and hypermodules are investigated with examples.
Author
Dr. Ömer Faruk Koç
How to Cite
Ömer Faruk Koç (Master Thesis). Fuzzy hypermodules, 2014, Yıldız Technical University.
Keywords
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