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HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS
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 Title & Authors
HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS
Jun, Young-Bae; Kang, Min-Su; Kim, Hee-Sik;
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 Abstract
The notions of (weak) hyper MV-deductive systems and (weak) implicative hyper MV-deductive systems are introduced, and several properties are investigated. Relations among hyper MV-deductive systems, weak hyper MV-deductive systems, implicative hyper MV-deductive systems and weak implicative hyper MV-deductive systems are discussed. A characterization of a hyper MV-deductive system is provided. A condition for a weak hyper MV-deductive system to be a weak implicative hyper MV-deductive system is given.
 Keywords
hyper MV-algebra;(weak) hyper MV-deductive system;(weak) implicative hyper MV-deductive system;
 Language
English
 Cited by
1.
BIPOLAR FUZZY HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS,;

대한수학회논문집, 2011. vol.26. 2, pp.169-182 crossref(new window)
1.
The entropy of semi-independent hyper MV-algebra dynamical systems, Soft Computing, 2016, 20, 4, 1263  crossref(new windwow)
2.
BIPOLAR FUZZY HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS, Communications of the Korean Mathematical Society, 2011, 26, 2, 169  crossref(new windwow)
3.
States on hyper MV-algebras, Journal of Intelligent & Fuzzy Systems, 2016, 31, 3, 1299  crossref(new windwow)
4.
Fuzzy $$\mathsf{H}_v\mathsf{MV}$$ H v MV -algebras, Afrika Matematika, 2016, 27, 3-4, 379  crossref(new windwow)
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