HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS
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초록
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.
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.
참고문헌 (3)
- Sh. Ghorbani, "Hyper MV-algerbas", Set-Valued Math. Appl.
- Sh. Ghorbani, "Quotient hyper MV-algerbas", Sci. Math. Jpn., 66, pp.371~386 (2007)
- L. Torkzadeh, "Hyper MV-ideals in hyper MV-algerbas", Math. Log. Quart., 56, pp.51~62 (2010)