Conceptual Framework on Intuitionistic Fuzzy Lattice With Respect to Their Ideals

Abstract

We characterize kinds of fuzzy ideals and fuzzy filters that generalize usual sorts of ideals and filters of lattices, for example, principal ideals, appropriate ideals, prime ideals and maximal ideals. The main idea is checking that analogous properties in the classical hypothesis on lattices are maintained in this new hypothesis of fuzzy ideals. Lastly, we present the thought of α-ideals and α-filters of fuzzy lattices and characterize it by utilizing its help and its level set. Progressively finished, we demonstrate some similar properties in the classical hypothesis of α-ideals and α-filters, for example, the class of α-ideals and α-filters are shut under crossing point. In addition, we characterize ideals and filters of fuzzy lattices and ideas similarly as in their characterization regarding level and bolster sets.