## Abstract If __ΞΊ__ is an infinite cardinal, a complete Boolean algebra B is called __ΞΊ__βsupported if for each sequence γ__b~Ξ²~__ : __Ξ²__ < __ΞΊ__γ of elements of B the equality $ \wedge$~__Ξ±__<__ΞΊ__~ $ \vee$~__Ξ²__>__Ξ±__~ __b~Ξ²~__ = $ \vee$ $ \wedge$~__Ξ²__β__A__~ __b__~__Ξ²__~ holds. Combinatorial
Forcing operators on MTL-algebras
β Scribed by Denisa Diaconescu; George Georgescu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 166 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
We study the forcing operators on MTL-algebras, an algebraic notion inspired by the Kripke semantics of the monoidal t-norm based logic (MTL). At logical level, they provide the notion of the forcing value of an MTL-formula. We characterize the forcing operators in terms of some MTL-algebras morphisms. From this result we derive the equality of the forcing value and the truth value of an MTL-formula.
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