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A Fuzzy Algebraic System Based on the Theory of Falling Shadows

โœ Scribed by Xue-hai Yuan; E.Stanley Lee

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
192 KB
Volume
208
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Based on the concept of a falling shadow, a theoretical approach of the fuzzy algebraic system is established. A fuzzy subalgebraic system of an algebraic system is considered as a falling shadow of the ''cloud of the subalgebraic systems.'' When ลฝ . an algebraic system is a ring, fuzzy subrings fuzzy ideas, fuzzy prime ideas of a ลฝ ring are seen as falling shadows of ''the cloud of subrings'' ''cloud of ideas,'' . ''cloud of prime ideas'' . We shall show that fuzzy algebraic systems defined in t-norms are consequences of our definition under certain conditions. แฎŠ 1997

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