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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences The Journal of Experimental Life Sciences (JELS) CAUCHY: Jurnal Matematika Murni dan Aplikasi Electronic Journal of Graph Theory and Applications (EJGTA) Telematika : Jurnal Informatika dan Teknologi Informasi Journal of Innovation and Applied Technology Research Journal of Life Science Prosiding Seminar Nasional Teknoka JTAM (Jurnal Teori dan Aplikasi Matematika) Limits: Journal of Mathematics and Its Applications
Hidayat, Noor
Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Computer Science & IT Education Electrical & Electronics Engineering Engineering Environmental Science Immunology & microbiology Mathematics Medicine & Pharmacology Neuroscience

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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

 1 
On Relations between Some Types of (α,β)-Intuitionistic Fuzzy Ideals of Ternary Semigroups Damarian Prawira Hutama; Noor Hidayat; Abdul Rouf Al-ghofari
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.5171

Abstract

In this article, the notion of (α,β)-intuitionistic fuzzy ideals (briefly, (α,β)-IF ideals) of ternary semigroups is described using ”belong to” relation (ϵ) and “quasi-coincidence with” relation (q) connecting two objects, i.e., an intuitionistic fuzzy point (IFP, for short) and an intuitionistic fuzzy set (briefly, IFS). Throughout this paper, α∈{ϵ,q,ϵ∨q} and β∈{ϵ,q,ϵ∨q,ϵ∧q}.  The main purposes of this research are to construct the definition of (α,β)-intuitionistic fuzzy ideals of ternary semigroups and to investigate the relations between some types of these ideals. To achieve these goals, we use literature review method to study previous researches regarding (α,β)-fuzzy ideals of ternary semigroups and (α,β)-IF ideals of semigroups. As a result, we find the conditions for an IFS and an ideal of a ternary semigroup to be classified as an (α,ϵ∨q)-IF ideal of ternary semigroup. Relations between some types of (α,β)-IF ideals of a ternary semigroup are also discussed here.
An η-Intuitionistic Fuzzy Rings Structure Syafitri Hidayahningrum; Noor Hidayat; Marjono Marjono
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.11833

Abstract

In this article, we present the structure of η-intuitionistic fuzzy ring. An η-intuitionistic fuzzy ring is a structure which is built with combinating the definition of fuzzy ring, intuitionistic fuzzy set, and η-intuitionistic fuzzy set. The η-intuitionistic fuzzy set is characterized by any value η∈[0,1], where the degree of membership μ_(A^η ) (k) is obtained based on the averaging operator of the degree of membership μ_A (k) and the value of η∈[0,1]. While the degree of non membership ν_(A^η ) (k) is obtained based on the averaging operator of the degree of non membership ν_A (k) and the value of 1-η∈[0,1]. In its development, new concepts were obtained, namely the η-intuitionistic fuzzy ideal and its properties related to the sum and product operation of η-intuitionistic fuzzy ideals. Furthermore, the η-intuitionistic fuzzy ideals concept can be developed into an η-intuitionistic fuzzy quotient ring, η-intuitionistic fuzzy homomorphism, and its properties on the next research. 
Co-Authors Abdul Rouf Al-ghofari Abdul Rouf Alghofari Agus Suryanto Alghofari, Abdul Rouf Anam, Syaiful Candra Dewi Corina Karim, Ari Andari Damarian Prawira Hutama Diari Indriati Dwi Mifta Mahanani Fatmawati Hidayat Fira Fitriah Indah Yanti Indah Yanti Marjono, Marjono Marsudi, Marsudi Mochamad Hakim Akbar Assidiq Maulana Mohamad Handri Tuloli Mustika Ana Kurfia Nurul Faqiyyatur Rokhmah Ratno Bagus Edy Wibowo Rina Exviani S Slamin Syafitri Hidayahningrum Trisilowati, Trisilowati Wijayanti, Dian Eka Wuryansari Muharini Kusumawinahyu ZURAIDAH FITRIAH Zuraidah Fitriah