出版社:Academy & Industry Research Collaboration Center (AIRCC)
摘要:In the theory of rings and modules there is a correspondence between certain ideals of a ring Rand submodules of an R-module that arise from annihilation. The submodules obtained usingannihilation, which correspond to prime ideals play an important role in decomposition theory.In this paper, we attempt to intuitionistic fuzzify the concept of annihilators of subsets ofmodules. We investigate certain characterization of intuitionistic fuzzy annihilators of subsets ofmodules. Using the concept of intuitionistic fuzzy annihilators, intuitionistic fuzzy primesubmodules and intuitionistic fuzzy annihilator ideals are defined and various related propertiesare established.