Ch. Polhinkong - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. K. Ngenkokkruad - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. R. Chinram - Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. P. Julatha - Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand. A. Iampan - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
The goal of this study is to introduce the concept of a new type of the hybrid algebra between Abelian groups and UP (BCC)-algebras: UP (BCC)-modules. We introduce the concept of fuzzy UP (BCC)-submodules of UP (BCC)-modules and provide properties and find the necessary and sufficient conditions for this concept. We define fuzzy sets in UP (BCC)-modules of many forms, supplying their properties and their relation to fuzzy UP (BCC)-submodules. We also define and study the fuzzy UP (BCC)-submodule generated by a set of fuzzy sets in UP (BCC)-modules, as well as provide for their properties and their relation to fuzzy UP (BCC)-submodules. Finally, we apply the concept of fuzzy UP (BCC)-ideals of UP (BCC)-algebras while providing properties and find the results of the composition and the product between fuzzy UP (BCC)-ideals and fuzzy UP (BCC)-submodules.
Ch. Polhinkong, K. Ngenkokkruad, R. Chinram, P. Julatha, A. Iampan, A new type of the hybrid algebra between Abelian groups and UP (BCC)-algebras: UP (BCC)-modules, Journal of Mathematics and Computer Science, 31 (2023), no. 4, 403--432
Polhinkong Ch., Ngenkokkruad K., Chinram R., Julatha P., Iampan A., A new type of the hybrid algebra between Abelian groups and UP (BCC)-algebras: UP (BCC)-modules. J Math Comput SCI-JM. (2023); 31(4):403--432
Polhinkong, Ch., Ngenkokkruad, K., Chinram, R., Julatha, P., Iampan, A.. "A new type of the hybrid algebra between Abelian groups and UP (BCC)-algebras: UP (BCC)-modules." Journal of Mathematics and Computer Science, 31, no. 4 (2023): 403--432
