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Vague Modules on the Base of ([0, 1], ≤, ∧)

Sevda Sezer (1) and Murat Yüksel (2)

(1) Faculty of Education, Akdeniz University, Antalya-TURKEY

Email address: sevdasezer@akdeniz.edu.tr


(2) Math Teacher

Email address: yukselmurat@outlook.com.tr

Doi : https://doi.org/10.47013/15.4.9

Cited by : Jordan J. Math & Stat., 15 (4A) (2022), 925 - 939


Received on: June 14, 2021;                                           Accepted on: April 14, 2022

 Abstract. In this paper, the concepts of vague module, vague submodule, vague module homomorphism and vague module isomorphism based on the Demirci’s vague groups are defined. Then various elementary properties of these concepts are obtained, and the validity of some relevant classical results in these settings are investigated.

Keywords: Vague group, generalized vague subgroup, vague ring, vague homomorphism, vague module, vague submodule, vague module homomorphism, vague module isomorphism.