TY - JOUR AU - Munir, Mohammad AU - Kausar, Nasreen AU - , Salahuddin AU - Shafiq, Anum AU - Habib, Mustafa PY - 2021 TI - Characterizing semi-groups through the properties of their fuzzy \(m\)-bi-ideals JO - Journal of Mathematics and Computer Science SP - 170--180 VL - 23 IS - 3 AB - In this article, we present the idea of the fuzzy \(m\)-bi-ideals in semi-groups and describe their basic algebraic properties. We also develop the forms of the fuzzy \(m\)-bi-ideals generated by an element, a subset, and a sub-semi-group of the semi-group. Important characterizations of semi-groups and their different types like \(m\)-regular semi-groups and \(m\)-intraregular semi-groups have been given through demonstrating examples and using properties of fuzzy \(m\)-bi-ideals in semi-groups. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.023.03.01 DO - 10.22436/jmcs.023.03.01 ID - Munir2021 ER - TY - JOUR TI - Fuzzy quasi-ideals in semigroups AU - J. Ahsan AU - R. M. Latif AU - M. Shabir JO - J. Fuzzy Math. PY - 2001 DA - 2001// VL - 9 ID - Ahsan2001 ER - TY - JOUR TI - On fuzzy bi-ideals in semigroups AU - I. Chon JO - Korean J. Math. PY - 2011 DA - 2011// VL - 19 ID - Chon2011 ER - TY - JOUR TI - Associated groups for a semigroup AU - R. Good AU - D. Hughes JO - in: Bull. Amer. Math. Soc. PY - 1952 DA - 1952// VL - 58 ID - Good1952 ER - TY - JOUR TI - Characterizations of non-associative ordered semigroups by their intuitionistic fuzzy bi-ideals AU - N. Kausar AU - A. Meshari Alesemi AU - Salahuddin AU - M. Munir JO - Disc. Nonl. Compl. PY - 2020 DA - 2020// VL - 9 ID - Kausar2020 ER - TY - JOUR TI - Fuzzy semiprimary ideals of rings AU - R. Kumar JO - Fuzzy Sets and Systems PY - 1991 DA - 1991// VL - 42 ID - Kumar1991 ER - TY - JOUR TI - Fuzzy invariant subgroups and fuzzy ideals AU - W. J. Liu JO - Fuzzy sets and Systems PY - 1982 DA - 1982// VL - 8 ID - Liu1982 ER - TY - JOUR TI - Operations on fuzzy ideals AU - W.-J. Liu JO - Fuzzy Sets and Systems PY - 1983 DA - 1983// VL - 11 ID - Liu1983 ER - TY - BOOK TI - Fuzzy automata and languages: theory and applications AU - J. N. Mordeson AU - D. S. Malik PB - Chapman & Hall/CRC PY - 2002 DA - 2002// CY - Boca Raton ID - Mordeson2002 ER - TY - BOOK TI - Fuzzy semigroups AU - J. N. Mordeson AU - D. S. Malik AU - N. Kuroki PB - Springer-Verlag PY - 2012 DA - 2012// CY - Berlin ID - Mordeson2012 ER - TY - JOUR TI - On fuzzy ideals of a ring I AU - T. K. Mukherjee AU - M. K. Sen JO - Fuzzy Sets and Systems PY - 1987 DA - 1987// VL - 21 ID - Mukherjee1987 ER - TY - JOUR TI - On $m$-bi ideals in semigroups AU - M. Munir JO - Bull. Int. Math. Virtual Inst. PY - 2018 DA - 2018// VL - 8 ID - Munir2018 ER - TY - JOUR TI - On generalization of quasi ideals in semirings AU - M. Munir AU - A. Ali JO - Bull. Int. Math. Virtual Inst. PY - 2020 DA - 2020// VL - 10 ID - Munir2020 ER - TY - JOUR TI - A generalization of bi ideals in semirings AU - M. Munir AU - A. Shafiq JO - Bull. Int. Math. Virtual Inst. PY - 2018 DA - 2018// VL - 8 ID - Munir2018 ER - TY - JOUR TI - On $m$-bi-hyperideals in semihyperrings AU - W. Nakkhasen AU - B. Pibaljommee JO - Songklanakarin J. Sci. Technol. PY - 2019 DA - 2019// VL - 41 ID - Nakkhasen2019 ER - TY - JOUR TI - Fuzzy bi-interior ideals of semigroups AU - M. M. K. Rao JO - Asia Pacific. J. Math. PY - 2018 DA - 2018// VL - 5 ID - Rao2018 ER - TY - JOUR TI - $T$-fuzzy bi-ideals in semirings AU - R. Rasuli JO - Earthline J. Math. Sci. PY - 2019 DA - 2019// VL - 2 ID - Rasuli2019 ER - TY - JOUR TI - On prime fuzzy bi-ideals of semigroups AU - M. Shabir AU - Y. B. Jun AU - M. Bano JO - Iran. J. Fuzzy Syst. PY - 2010 DA - 2010// VL - 7 ID - Shabir2010 ER - TY - JOUR TI - Semigroups characterized by the properties of their fuzzy ideals with thresholds AU - M. Shabir AU - Y. Nawaz AU - M. Aslam JO - World Appl. Sci. J. PY - 2011 DA - 2011// VL - 14 ID - Shabir2011 ER - TY - JOUR TI - Characterizations of non-associative ordered semigroups by their fuzzy bi-ideals AU - T. Shah AU - N. Kausar JO - Theoret. Comput. Sci. PY - 2014 DA - 2014// VL - 529 ID - Shah2014 ER - TY - JOUR TI - Fuzzy prime ideals of rings AU - U. M. Swamy AU - K. L. N. Swamy JO - J. Math. Anal. Appl. PY - 1988 DA - 1988// VL - 134 ID - Swamy1988 ER - TY - JOUR TI - Fuzzy ideals in semigroups AU - X.-Y. Xie JO - J. Fuzzy Math. PY - 1999 DA - 1999// VL - 7 ID - Xie1999 ER - TY - JOUR TI - Fuzzy sets AU - L. A. Zadeh JO - Inf. Control PY - 1965 DA - 1965// VL - 8 ID - Zadeh1965 ER - TY - JOUR TI - Prime $L$-fuzzy ideals and primary $L$-fuzzy ideals AU - Y. Zhang JO - Fuzzy Sets and Systems PY - 1988 DA - 1988// VL - 27 ID - Zhang1988 ER - TY - BOOK TI - Fuzzy sets theory and its application AU - H. Zimmermann PB - Kluwer Academic Publ. PY - 2001 DA - 2001// CY - New York ID - Zimmermann2001 ER -