Journal of the Indonesian Mathematical Society, 2020
The purpose of this study is to initiate the concept of anti fuzzy left (resp. right, bi-, genera... more The purpose of this study is to initiate the concept of anti fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals in ordered AG-groupoids. We characterize the different classes of ordered AG-groupoids in terms of such ideals. Par-ticularl, we prove that in regular (resp. left weakly regular) ordered AG-groupoids, the concept of anti fuzzy (right, two-sided) ideals coincides.
In this article, we present the idea of the fuzzy m-bi-ideals in semi-groups and describe their b... more 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.
In this article, we present the idea of the fuzzy m-bi-ideals in semi-groups and describe their b... more 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.
Sensitivity Analysis of the most advanced four compartmental mathematical model explaining solute... more Sensitivity Analysis of the most advanced four compartmental mathematical model explaining solute kinetic in the hemodialysis patients was performed on the basis of the data collected from six patients with different Body Mass Indices (BMIs). The toxin concentration in all compartments increases with the decrease in the BMIs of the patients. The clearance rate, k clear , and the volume of extracellular compartment, V E , are the most sensitive while the volume of the muscle tissue compartment, V MT , and the clearance rate, k MT , are the least sensitive parameters during dialytic interval. The production rate, G, and the volume of the extracellular compartment, V E, are the most sensitive while kclear and k E, AT are the least sensitive parameters of all parameters during the interdialytic interval. The overall production rate, G, remains more sensitive than the clearance rate, k clear during one complete cycle.
The aim of this paper is to investigate, the characterizations of different classes of non-associ... more The aim of this paper is to investigate, the characterizations of different classes of non-associative and non-commutative ordered semigroups in terms of intuitionistic fuzzy left (right, bi-, generalized bi-, (1,2)-) ideals.
The aim of this paper is to investigate, the characterizations of different classes of non-associ... more The aim of this paper is to investigate, the characterizations of different classes of non-associative and non-commutative ordered semigroups in terms of intuitionistic fuzzy left (right, bi-, generalized bi-, (1,2)-) ideals.
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi idea... more In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy m-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic function on this subset is a fuzzy m-bi ideal. Keywords: Fuzzy m-bi ideals, strongly prime m-bi ideals, semiprime m-bi ideals, bipotency.
International Journal of Advanced and Applied Sciences, 2020
The purpose of this paper is to study the different classes of ordered AG-groupoids by using fuzz... more The purpose of this paper is to study the different classes of ordered AG-groupoids by using fuzzy left (resp. right, interior) ideals. Particularly, we illustrate regular (resp. right regular, left regular, (2, 2)-regular, weakly regular and intra-regular) ordered AG-groupoids in terms of fuzzy left (resp. right, interior) ideals. In this regard, we show that in (regular, right regular, weakly regular) ordered AG-groupoids, the concept of fuzzy (interior, two-sided) ideals coincide. The concept of fuzzy (interior, two-sided) ideals coincide in ((2,2), left, intra-) regular ordered AG-groupoids with left identity.
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi idea... more In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy m-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic function on this subset is a fuzzy m-bi ideal. Keywords: Fuzzy m-bi ideals, strongly prime m-bi ideals, semiprime m-bi ideals, bipotency.
Bi ideals are the generalization of quasi ideals which are themselves the generalization of the s... more Bi ideals are the generalization of quasi ideals which are themselves the generalization of the so called one-sided, right and left ideals. In this paper, we define the m-bi ideals as a generalization of the bi ideals. The important properties of the m-bi ideals from the pure algebraic point of view have been described. Moreover, we present the form of the m-bi ideals generated by subsets of the semiring. On the basis of these properties, further characterizations of the semiring will be helpful.
Bi ideals are the generalization of quasi ideals which are themselves the generalization of the s... more Bi ideals are the generalization of quasi ideals which are themselves the generalization of the so called one-sided, right and left ideals. In this paper, we define the m-bi ideals as a generalization of the bi ideals. The important properties of the m-bi ideals from the pure algebraic point of view have been described. Moreover, we present the form of the m-bi ideals generated by subsets of the semiring. On the basis of these properties, further characterizations of the semiring will be helpful.
Journal of the Indonesian Mathematical Society, 2020
The purpose of this study is to initiate the concept of anti fuzzy left (resp. right, bi-, genera... more The purpose of this study is to initiate the concept of anti fuzzy left (resp. right, bi-, generalized bi-, (1,2)-) ideals in ordered AG-groupoids. We characterize the different classes of ordered AG-groupoids in terms of such ideals. Par-ticularl, we prove that in regular (resp. left weakly regular) ordered AG-groupoids, the concept of anti fuzzy (right, two-sided) ideals coincides.
In this article, we present the idea of the fuzzy m-bi-ideals in semi-groups and describe their b... more 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.
In this article, we present the idea of the fuzzy m-bi-ideals in semi-groups and describe their b... more 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.
Sensitivity Analysis of the most advanced four compartmental mathematical model explaining solute... more Sensitivity Analysis of the most advanced four compartmental mathematical model explaining solute kinetic in the hemodialysis patients was performed on the basis of the data collected from six patients with different Body Mass Indices (BMIs). The toxin concentration in all compartments increases with the decrease in the BMIs of the patients. The clearance rate, k clear , and the volume of extracellular compartment, V E , are the most sensitive while the volume of the muscle tissue compartment, V MT , and the clearance rate, k MT , are the least sensitive parameters during dialytic interval. The production rate, G, and the volume of the extracellular compartment, V E, are the most sensitive while kclear and k E, AT are the least sensitive parameters of all parameters during the interdialytic interval. The overall production rate, G, remains more sensitive than the clearance rate, k clear during one complete cycle.
The aim of this paper is to investigate, the characterizations of different classes of non-associ... more The aim of this paper is to investigate, the characterizations of different classes of non-associative and non-commutative ordered semigroups in terms of intuitionistic fuzzy left (right, bi-, generalized bi-, (1,2)-) ideals.
The aim of this paper is to investigate, the characterizations of different classes of non-associ... more The aim of this paper is to investigate, the characterizations of different classes of non-associative and non-commutative ordered semigroups in terms of intuitionistic fuzzy left (right, bi-, generalized bi-, (1,2)-) ideals.
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi idea... more In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy m-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic function on this subset is a fuzzy m-bi ideal. Keywords: Fuzzy m-bi ideals, strongly prime m-bi ideals, semiprime m-bi ideals, bipotency.
International Journal of Advanced and Applied Sciences, 2020
The purpose of this paper is to study the different classes of ordered AG-groupoids by using fuzz... more The purpose of this paper is to study the different classes of ordered AG-groupoids by using fuzzy left (resp. right, interior) ideals. Particularly, we illustrate regular (resp. right regular, left regular, (2, 2)-regular, weakly regular and intra-regular) ordered AG-groupoids in terms of fuzzy left (resp. right, interior) ideals. In this regard, we show that in (regular, right regular, weakly regular) ordered AG-groupoids, the concept of fuzzy (interior, two-sided) ideals coincide. The concept of fuzzy (interior, two-sided) ideals coincide in ((2,2), left, intra-) regular ordered AG-groupoids with left identity.
In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi idea... more In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime m-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy m-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is m-regular and m-intraregular if and only if its very fuzzy m-bi ideal is a semiprime, likewise a subset of a semigroup is its m-bi ideal if and only if the characteristic function on this subset is a fuzzy m-bi ideal. Keywords: Fuzzy m-bi ideals, strongly prime m-bi ideals, semiprime m-bi ideals, bipotency.
Bi ideals are the generalization of quasi ideals which are themselves the generalization of the s... more Bi ideals are the generalization of quasi ideals which are themselves the generalization of the so called one-sided, right and left ideals. In this paper, we define the m-bi ideals as a generalization of the bi ideals. The important properties of the m-bi ideals from the pure algebraic point of view have been described. Moreover, we present the form of the m-bi ideals generated by subsets of the semiring. On the basis of these properties, further characterizations of the semiring will be helpful.
Bi ideals are the generalization of quasi ideals which are themselves the generalization of the s... more Bi ideals are the generalization of quasi ideals which are themselves the generalization of the so called one-sided, right and left ideals. In this paper, we define the m-bi ideals as a generalization of the bi ideals. The important properties of the m-bi ideals from the pure algebraic point of view have been described. Moreover, we present the form of the m-bi ideals generated by subsets of the semiring. On the basis of these properties, further characterizations of the semiring will be helpful.
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