Soft Ultra-Fılters and Soft G-Fılter of MTL-Algebras

The logic MTL, Monoidal t-norm based logic was presented by F. Estva and L. Godo and discuss several properties of MTL-algebra in [6] The Boolean logic (BL) was introduced by P. Hajek and discuss the properties in [1].The fuzzy reasoning and implication operators was discussed by Ying in ([2],[3]). A proper logical system for fuzzy propositional calculus and a innovative arithmetical configurations (R 0 -algebras) is proposed by Wang (see [4] and [5] ). In ([7] [8]) Jun and Zhang deliberate the fuzzy configuration of filters and further studied the classifications of fuzzy filters in MTL-algebras. Jun and Zhang also explored the fuzzi-fication of Boolean & MV-filters. In paper [10] Moldtsov gives the idea of soft set theory. Maji-et-al further work on soft set and defines some operations on soft set (see [11]). These operations were corrected by Ali et al [12].X.H. Zhang et al gives the concept of fuzzy ultra filters and fuzzy G-filters in [9] as a continuation of this research paper, we additional study Soft ultra filters, soft prime filters and soft G-filters in a monoidal t-norm logic (MTL) algebras. We gives some examples and prove some results.