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Introduction to Fully Fuzzy Parameterized Soft Group

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In this paper the concept of full fuzzy parameterized soft group (FFPS-group) is introduced which extends the investigation of the full fuzzy parameterized soft set (FFPS-set) as introduced in 2022 by Edeghagba and Muhammad. In this study, the definition of the new concept is given, along with the joint-intersection and meet-union of FFPS-groups. Furthermore, the basic properties of FFPS-group and FFPS-subgroup are studied. Finally, we investigated the fundamental of FFPS-group properties via external product, homomorphism, isomorphism and factoring of FFPS-group are defined and investigated.
Title: Introduction to Fully Fuzzy Parameterized Soft Group
Description:
In this paper the concept of full fuzzy parameterized soft group (FFPS-group) is introduced which extends the investigation of the full fuzzy parameterized soft set (FFPS-set) as introduced in 2022 by Edeghagba and Muhammad.
In this study, the definition of the new concept is given, along with the joint-intersection and meet-union of FFPS-groups.
Furthermore, the basic properties of FFPS-group and FFPS-subgroup are studied.
Finally, we investigated the fundamental of FFPS-group properties via external product, homomorphism, isomorphism and factoring of FFPS-group are defined and investigated.

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