Introducing Fuzzy Almost m-Ideals, Fuzzy Generalized Almost m-Ideals and Related Objects in Semigroups

Kausar N.

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, cilt.14, sa.3, ss.351-371, 2020 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2020
  • Dergi Adı: MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.351-371
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In this article, we present the concepts of almost m-ideals, generalized almost m-ideals, fuzzy almost m-ideals, and fuzzy generalized almost m-ideals. We present the results illustrating their mutual differences and similarities. Along these lines, we bring about their examples and then characterize semigroups through their properties. One of the distinguished properties of the almost m-ideals respectively the related objects is that their intersection is not an almost m-ideal respectively related objects, while their union is. A subsemigroup of a semigroup is the almost m-ideals if and only if its characteristic function is the fuzzy almost m-ideals. Through these four closely related concepts of m-ideals, we show that this field will open new avenues of research and applications of semigroups