5 research outputs found
SEMIGRUP BENTUK BILINEAR TERURUT PARSIAL DALAM BATASAN SUBHIMPUNAN FUZZY
Penelitian terkait dengan Semigrup Bentuk Bilinear telah dilakukan oleh Rajendran dan
Nambooripad. Penelitian ini selanjutnya dikembangkan oleh Karyati dan Wahyuni. Karakteristik
semigrup bentuk bilinear fuzzy juga telah dikembangkan oleh Karyati, dkk. Berbagai aspek
penyelidikan juga telah dilakukan oleh Karyati, dkk terkait dengan ideal fuzzy, relasi fuzzy, relasi
kongruensi fuzzy dan relasi Green fuzzy pada semigrup bentuk bilinear.
Diinspirasi oleh penelitian yang dilakukan oleh Kehayopulu dan Tsengelis yang bekerja
pada srtuktur aljabar semigrup terurut parsial, maka dalam penelitian ini akan dibangun suatu
urutan parsial pada semigrup bentuk bilinear fuzzy. Terkait dengan penambahan operasi urutan
parsial pada semigrup bentuk bilinear dan sifat khusus dari semigrup bentuk bilinear ini diperoleh
beberapa sifat semigrup bentuk bilinear dalam batasan subhimpunan fuzzy yang membentuk ideal
(kiri/kanan) fuzzy dari semigrup bentuk bilinear tersebut
RIGHT PURE UNI-SOFT IDEALS OF ORDERED SEMIGROUPS
In this paper, we initiate the study of pure uni-soft ideals in ordered semigroups. The soft version of right pure ideals in ordered semigroups is considered which is an extension of the concept of right pure ideal in ordered semigroups. We also give the main result for right pure uni-soft ideals in ordered semigroups and characterize right weakly regular ordered semigroups in terms of right pure uni-soft ideals
Fuzzy Quasi-Ideals of Ordered Semigroups
Abstract. In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals. We define semiprime fuzzy quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime fuzzy quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having the property a ≤ a 2 for all a ∈ S, by means of fuzzy quasi-ideals. Mathematics Subject Classification: 06F05, 06D72, 08A72 Keywords and phrases: Subsemigroups, left (right) ideals, quasi-(bi-) ideals, left (right) regular, left (right) simple ordered semigroups, completely regular ordered semigroups, fuzzy sets, fuzzy subsemigroup, fuzzy left (right) ideals, fuzzy quasi-(bi-) ideals, semiprime (resp. semiprime fuzzy) ideals of ordered semigroups
Fuzzy Quasi-ideals of Ordered Semigroups
In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals. We define semiprime fuzzy quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime fuzzy quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having the property a a 2 for all a 2 S, by means of fuzzy quasi-ideals