TY - JOUR AU - Julatha, P. AU - Iampan, A. PY - 2022 TI - $\mathcal{SUP}$-Hesitant fuzzy ideals of $\Gamma$-semigroups JO - Journal of Mathematics and Computer Science SP - 148--161 VL - 26 IS - 2 AB - As a generalization of the concepts of interval-valued fuzzy ideals and hesitant fuzzy ideals of \(\Gamma\)-semigroups, the concept of \(\mathcal{SUP}\)-hesitant fuzzy ideals is introduced. Characterizations of \(\mathcal{SUP}\)-hesitant fuzzy ideals are discussed in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Further, \(\mathcal{SUP}\)-hesitant fuzzy translations of \(\mathcal{SUP}\)-hesitant fuzzy ideals of \(\Gamma\)-semigroups are introduced and their related properties are investigated. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.026.02.05 DO - 10.22436/jmcs.026.02.05 ID - Julatha2022 ER - TY - JOUR TI - A hesitant fuzzy set approach to ideal theory in $\Gamma$-semigroups AU - M. Y. Abbasi AU - A. F. Talee AU - S. A. Khan AU - K. Hila JO - Adv. Fuzzy Syst. PY - 2018 DA - 2018// VL - 2018 ID - Abbasi2018 ER - TY - JOUR TI - On fuzzy soft $\Gamma$-hyperideals over left almost $\Gamma$-semihypergroups AU - M. A. Ansari AU - I. A. H. Masmali JO - Appl. Math. Sci. (Ruse) PY - 2013 DA - 2013// VL - 7 ID - Ansari2013 ER - TY - JOUR TI - Intuitionistic fuzzy sets AU - K. T. Atanassov JO - Fuzzy Sets and Systems PY - 1986 DA - 1986// VL - 20 ID - Atanassov1986 ER - TY - JOUR TI - A novel approach to hesitant multi-fuzzy soft set based decision-making AU - A. Dey AU - T. Senapati AU - M. Pal AU - G. Chen JO - AIMS Math. PY - 2020 DA - 2020// VL - 5 ID - Dey2020 ER - TY - JOUR TI - $\mathrm{SUP}$-hesitant fuzzy quasi-associative ideals of BCI-algebras AU - H. Harizavi AU - Y. B. Jun JO - Filomat PY - 2020 DA - 2020// VL - 34 ID - Harizavi2020 ER - TY - JOUR TI - New generalizations of hesitant and interval-valued fuzzy ideals of semigroups AU - U. Jittburus AU - P. Julatha JO - Adv. Math. Sci. J. PY - 2021 DA - 2021// VL - 10 ID - Jittburus2021 ER - TY - JOUR TI - Hesitant fuzzy bi-ideals in semigroups AU - Y. B. Jun AU - K. J. Lee AU - S.-Z. Song JO - Commun. Korean Math. Soc. PY - 2015 DA - 2015// VL - 30 ID - Jun2015 ER - TY - JOUR TI - Hesitant Fuzzy h-ideals of $\Gamma$-hemirings AU - D. Mandal JO - J. New Theory PY - 2020 DA - 2020// VL - 31 ID - Mandal2020 ER - TY - JOUR TI - New types of hesitant fuzzy sets on UP-algebras AU - P. Mosrijai AU - A. Satirad AU - A. Iampan JO - Math. Morav. PY - 2018 DA - 2018// VL - 22 ID - Mosrijai2018 ER - TY - JOUR TI - Ideal theory in BCK/BCI-algebras in the frame of hesitant fuzzy set theory AU - G. Muhiuddin AU - H. Harizavi AU - Y. B. Jun JO - Appl. Appl. Math. PY - 2020 DA - 2020// VL - 15 ID - Muhiuddin2020 ER - TY - JOUR TI - Sup-hesitant fuzzy subalgebras and its translations and extensions AU - G. Muhiuddin AU - Y. B. Jun JO - Ann. Commun. Math. PY - 2019 DA - 2019// VL - 2 ID - Muhiuddin2019 ER - TY - JOUR TI - Fuzzy hypersemigroups AU - M. K. Sen AU - R. Ameri AU - G. Chowdhury JO - Soft Comput. PY - 2008 DA - 2008// VL - 12 ID - Sen2008 ER - TY - JOUR TI - On $\Gamma$-semigroup-I AU - M. K. Sen AU - N. K. Saha JO - Bull. Calcutta Math. Soc. PY - 1986 DA - 1986// VL - 78 ID - Sen1986 ER - TY - JOUR TI - Cubic set structure applied in UP-algebras AU - T. Senapati AU - Y. B. Jun AU - K. P. Shum JO - Discrete Math. Algorithms Appl. PY - 2018 DA - 2018// VL - 10 ID - Senapati2018 ER - TY - JOUR TI - Representation of UP-algebras in interval-valued intuitionistic fuzzy environment AU - T. Senapati AU - G. Muhiuddin AU - K. P. Shum JO - Ital. J. Pure Appl. Math. PY - 2017 DA - 2017// VL - 38 ID - Senapati2017 ER - TY - JOUR TI - Hesitant fuzzy sets approach to ideal theory in ternary semigroups AU - A. F. Talee AU - M. Y. Abbasi AU - S. A. Khan JO - Int. J. Appl. Math. PY - 2018 DA - 2018// VL - 31 ID - Talee2018 ER - TY - JOUR TI - Hesitant fuzzy sets AU - V. Torra JO - Int. J. Intell. Syst. PY - 2010 DA - 2010// VL - 25 ID - Torra2010 ER - TY - JOUR TI - On hesitant fuzzy sets and decision AU - V. Torra AU - Y. Narukawa JO - In: IEEE International Conference on Fuzzy Systems (Jeju, Korea South) PY - 2009 DA - 2009// VL - 2009 ID - Torra2009 ER - TY - JOUR TI - Intuitionistic fuzzy sets in $\Gamma$-semigroups AU - M. Uçkun AU - M. A.Öztürk AU - Y. B. Jun JO - Bull. Korean Math. Soc. PY - 2007 DA - 2007// VL - 44 ID - Uçkun2007 ER - TY - JOUR TI - Fuzzy sets AU - L. A. Zadeh JO - Inf. Control PY - 1695 DA - 1695// VL - 8 ID - Zadeh1695 ER - TY - JOUR TI - The concept of a linguistic variable and its application to approximate reasoning--I AU - L. A. Zadeh JO - Information Sci. PY - 1975 DA - 1975// VL - 8 ID - Zadeh1975 ER -