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Full-Text Articles in Number Theory
Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator And Its Application To Decision Making, Florentin Smarandache, Aliya Fahmi, Fazli Amin, Madad Khan, Nasruddin Hassan
Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator And Its Application To Decision Making, Florentin Smarandache, Aliya Fahmi, Fazli Amin, Madad Khan, Nasruddin Hassan
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach
Fuzzy And Neutrosophic Sets In Semigroups, Florentin Smarandache, Young Bae Jun, Madad Khan
Fuzzy And Neutrosophic Sets In Semigroups, Florentin Smarandache, Young Bae Jun, Madad Khan
Branch Mathematics and Statistics Faculty and Staff Publications
The first chapter, Characterizations of regular and duo semigroups based on int-soft set theory, investigates the relations among int-soft semigroup, int-soft (generalized) bi-ideal, int-soft quasi-ideal and int-soft interior ideal. Using int-soft left (right) ideal, an int-soft quasi-ideal is constructed. We show that every int-soft quasi-ideal can be represented as the soft intersection of an int-soft left ideal and an int-soft right ideal. Using int-soft quasiideal, an int-soft bi-ideal is established. Conditions for a semigroup to be regular are displayed.