Amani Odeh Sohaimat

ASUApplied Science Private University - Home PageScienceAmani Odeh SohaimatResearch

Research

Research Title :Complex Fuzzy Groups Based On Rosenfeld's Approach

Authors :Eman A.Abuhejleh, Mourad Massa’deh, Amani Sheimat And Abdulazeez Alkouri

Abstract :Complex fuzzy sets (CFS) generalize traditional fuzzy sets (FS) since the membership functions of CFS reduces to the membership functions of FS. FS values are always at [0, 1], unlike CFS which has values in the unit disk of C. This paper merges notion and concept in group theory and presents the notion of a complex fuzzy subgroup of a group. This proposed idea represents a more general and better optional mathematical tool as one of the approaches in the fuzzy group. However, this research defines the notion of complex fuzzy subgroupiod, complex fuzzy normal subgroup, and complex fuzzy left(right) ideal. Therefore, the lattice, homomorphic preimage, and image of complex fuzzy subgroupiod and ideal are introduced and studied its properties. Finally, complex fuzzy subgroups and their properties are presented and investigated

Keywords : Fuzzy sets, fuzzy subgroups and groups, fuzzy subgroupoid and ideal, complex fuzzy subgroupoid and ideal, Complex fuzzy sets, fuzzy subgroups

Visit

Research Title :New Structure of Intuitionistic Fuzzy Subgroups under Complex Realm

Authors : Doaa Al-Sharo1,*, Ayat I. Al-Zoubi1 , Amani Sheimat2 , Sharhabeel F. Alaidi3 , Abd Ulazeez Alkouri4 , Mutasem Sh. Alkhasawneh5

Abstract :Complex intuitionistic fuzzy sets (CIFS) can represent human information that contains uncertainty and periodicity semantics concurrently. In this research, the generalization concepts of CIF-subgroup (CIFSG) and anti-CIFSG of a given group are introduced, and their significance lies in assigning the grade of membership and non-membership functions in the complex plane. Also, CIFSG and anti-CIFSG are an inspiring expansion of the intuitionistic fuzzy subgroup (IFSG) and anti-IFSG. Our modification is highlighted in the phase term for membership and non-membership functions. Subsequently, a numerical example illustrates the inherent conditions of CIFSG is given. Also, we prove the relation between the complement of CIFSG and anti-CIFSG. After applying the operations ◇, and ▢ to a CIFSG, the results are CIFSG. Also, the intersection of two CIFSGs is as well a CIFSG. Moreover, the complex normal intuitionistic fuzzy subgroup (CNIFSG) and its algebraic properties are presented and investigated. Some equivalent conditions to show that a CIFSG is CNIFSG are obtained.

Keywords : Fuzzy sets, Intuitionistic fuzzy set, Complex Intuitionistic fuzzy set, complex fuzzy subgroup, complex intuitionistic fuzzy subgroup, anti-complex intuitionistic fuzzy subgroup, and complex normal intuitionistic fuzzy subgroup.

Visit