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Intuitionistic fuzzy Nakayama’s Lemma
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Drawing upon Atanassov's pioneering work on intuitionistic fuzzy sets [1], this paper presents the concept of intuitionistic fuzzy Nakayama's Lemma, offering a natural extension to Rajesh Kumar et al.'s fuzzy Nakayama's Lemma [8]. Additionally, we define the intuitionistic fuzzy Jacobson radical and explore the product of an intuitionistic fuzzy ideal and intuitionistic fuzzy submodule. Finally, we conclude by introducing the sum of two intuitionistic fuzzy submodules.
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Title: Intuitionistic fuzzy Nakayama’s Lemma
Description:
Drawing upon Atanassov's pioneering work on intuitionistic fuzzy sets [1], this paper presents the concept of intuitionistic fuzzy Nakayama's Lemma, offering a natural extension to Rajesh Kumar et al.
's fuzzy Nakayama's Lemma [8].
Additionally, we define the intuitionistic fuzzy Jacobson radical and explore the product of an intuitionistic fuzzy ideal and intuitionistic fuzzy submodule.
Finally, we conclude by introducing the sum of two intuitionistic fuzzy submodules.
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