Journal of applied mathematics & informatics
- Volume 20 Issue 1_2
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- Pages.255-277
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ON PROPERTIES OF FUZZY HYPERIDEALS IN HYPERNEAR-RINGS WITH t-NORMS
Abstract
By means of the use of a triangular norm T, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings and T-fuzzy characteristic hyper ideals are discussed.
Keywords
- Hyperideals;
- (T-) fuzzy hyperideals;
- T-product;
- hypernear-rings;
- t-norms;
- quotient hypernear-rings;
- T-fuzzy characteristic hyperideals