On Very True Operators and v-Filters
نویسندگان
چکیده
In this paper, based on Hájek, Vychodil, Rachunek and Šalounová’s works, we study the concept of v-filters of residuated lattices with weak vt-operators, axiomatize very true operators, discuss filters and v-filters of residuated lattices with weak vt-operator, give the formulas for calculating the v-filters generated by subsets, and show that lattice of v-filters of a commutative residuated lattice with vt-operator is a complete Brouwerian lattice. Key–Words: Fuzzy logic, Residuated lattice, Very true, Weak vt-operator, v-Filter
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