Papers by SUNDAY A ADEBISI
Efforts are carefully being intensified to calculate , in this paper, the explicit formulae for t... more Efforts are carefully being intensified to calculate , in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the carte-sian product of the dihedral group of order 2 6 with a cyclic group of order of an m power of two for, which n ≥ 6.
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In every nonabelian neutrosophic p-group G(I), possessing two neutrosophic cyclic subgroups X(I)i... more In every nonabelian neutrosophic p-group G(I), possessing two neutrosophic cyclic subgroups X(I)i and X(I)j, the quotient neutrosophic group of G (I) by X(I)i is isomorphic to the neutrosophic cyclic group X(I)j for i, j ∈ {1, 2}, i /= j. Moreover, if p > 2 and G(I) is metacyclic, possessing a neutrosophic nonabelian section Y (I), of order p3, then Y (I) is a trivial neutrosophic subgroup of G(I).
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Recently, a lot of educational as well as academic researchers have shown their ultimate interest... more Recently, a lot of educational as well as academic researchers have shown their ultimate interest in educational data mining techniques. Thus, several studies that can definitely contribute to the improvement of the educational process are conducted. The results of this lead to several issues that have to be addressed if the students general academic performances are to be improved. In this paper, we investigate the academic performance of a set of students in their core subjects. This we did by using the concept of the neutrosophic frequency, as well as the neutrosophic relative frequency distribution for the class of scores for the set of students. The results give some form of expectation for their general performance. This case serves as a means to enhance the educational process of the chosen set of students by identifying the students at risk of failure or dropping out and predicting the students' academic level at an early stage to provide the necessary support for the at-risk students.
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The neutrosophic interval statistical number (NISN) has been known to be very useful in expressin... more The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity measure. In this paper, neutrosophic numbers as well as the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the NISN the properties were proved.
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Briefly, neutrosophy is a new branch of philosophy which studies the origin, nature, and scope of... more Briefly, neutrosophy is a new branch of philosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. It relates to a general form of logic in which each proposition has separate values for truth, falsehood, and indeterminacy. This was formally discovered by Florentin Smarandache. For instance, the Neutrosophic sets (NS) have a significant role for clustering, denoising, segmentation, and classification in numerous medical imageprocessing's as well as their general applications. Motivated by the above, in this paper, we show that if Y (I) is a complete neutrosophic metric space in which the function f is a contracting mapping on the neutrosophic metric space Y (I), then, there exists one and only one point v in Y (I) such that f (v) = v
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Suppose that G is a finite p-group. It was shown (see [2]) that C * the set of all central automo... more Suppose that G is a finite p-group. It was shown (see [2]) that C * the set of all central automorphisms of G which elementarily fixes the centre of G elementwise, is isomorphic to the group of all Inner automorphisms of G if and only if G is abelian or G is nilpotent of class 2 for which the centre of G is cyclic. More so, if G is finitely generated then G can be represented in a particular simple form (see [3]). Moreover, suppose that G is a finite p-group such that Aut(G) ≡ Ep m .Then, CAutc (G)(Z(G)) = G/Z(G).
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In this paper, we establish a recursive formula for the number of chains of subgroups in the subg... more In this paper, we establish a recursive formula for the number of chains of subgroups in the subgroup lattice of the groups formed by the Cartesian products of cyclic groups of prime power order with alternating groups of degree 3. The subgroup chains were characterised by an enumerative technique derived from the set of representatives of isomorphism classes of subgroups with their sizes.
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The neutrosophic structures are very much relevant, vey essential and of course highly applicable... more The neutrosophic structures are very much relevant, vey essential and of course highly applicable to statistical and general mathematical concepts and structures. In practice. Sets in neutrosophic statistics are used, instead of crisp numbers in classical statistics. In addition, the neutrosophic concepts are undoubtedly very much applicable to a host of important mathematical ideals and concepts such as the transcendental functions and identities. In Classical Statistics all data are determined and this makes a very clear and vivid distinctions between neutrosophic statistics and classical statistics. In many cases, when indeterminacy is zero, neutrosophic statistics coincides with classical statistics. In many cases the neutrosophic can be used as a means for measuring the indeterminate data. Neutrosophic Data is the data that contains some forms of indeterminacy in this paper, efforts are intensified as much as possible to examine to some extent, the usefulness as well as the applicability of the concepts of neutrosophism in general mathematical functions and most especially in the area of problem solving.
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In the fundamentals of the basis rescue operations, is embedded the major three aspects involving... more In the fundamentals of the basis rescue operations, is embedded the major three aspects involving the disaster management entities. These include the transportation, water as well as the fire disasters. The safety of any environments or communities' rests solely and majorly on the level or the degree of managing the entire situations. Fire entails a very complex chemical process. The fire science is a branch of physical science which includes fire behavior, dynamics, and combustion. The physics of combustion determines when and where we have a fire. The diffusion flame process (fire) consists of three basic elements: fuel, oxygen, and heat. These basic components have been recognized in the comprehensive study of the science of fire. A fire itself is the result of a chemical reaction known as combustion, where fuel and oxygen react with one another and atoms rearrange themselves irreversibly. For this to occur, fuel must reach its ignition temperature, and combustion will continue if there is enough fuel, heat and oxygen. It's a state, process, or instance of combustion in which fuel or other material is ignited and combined with oxygen, giving off light, heat, flame. And various reaction products. Transportation systems are designed to move people, goods and services efficiently, economically and safely from one point on the earth's surface to another. Despite this broad goal, there are many environmental hazards that commonly disrupt or damage these systems at a variety of spatial and temporal scales. Whereas road curve geometry and other engineered hazards can be addressed through design hazards such as extreme weather, landslides and earthquakes are much more difficult to predict, manage and mitigate. Droughts leading to over-extraction of water, permafrost melt, increased karsts dissolution from precipitation, clay soil shrinkage, and other factors can result in ground subsidence or collapse. Impacts include potential loss of human life or injuries, building and infrastructure damage, flooding, saline intrusion to groundwater, poor drainage, and loss of agricultural land. There are three primary hazards-floods, droughts, and extreme storms. Floods affect the greatest number of people annually in terms of economic damage, floods result in the highest annual damage. In this paper, a clear survey and analysis of the threefold means which are involved in any rescue operational processes supports and services
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The concepts of refined neutrosophic algebraic structures and studies of refined neutrosophic gro... more The concepts of refined neutrosophic algebraic structures and studies of refined neutrosophic groups in particular were introduced by Agboola [1]. After the successful feat, many other neutrosophic researchers have as well tried to establish more further studies on the refined neutrosophic algebraic structures [2]. Further studies on refined neutrosophic rings and refined neutrosophic subrings, their presentations and fundamentals were also worked upon. Also, Agboola [3] has examined and as well studied the refined neutrosophic quotient groups, where more properties of re ned neutrosophic groups were presented and it was shown that the classical isomorphism theorems of groups do not hold in the refined neu-trosophic groups. The existence of classical morphisms between refined neutrosophic groups G (I1; I2) and neutrosophic groups G (I) were established. The readers can as well consult [4-7] in order to have detailed knowledge concerning the refined neutrosophic logic, neutrosophic groups, refined neutrosophic groups and neutrosophy, in general. Please note the following: throughout this paper, our binary operation is strictly the usual ordinary addition (as the operation of multiplication may not be de ned due to the fact that I1 does not exist).
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Any finite nilpotent group can be uniquely written as a direct product of -groups In this paper... more Any finite nilpotent group can be uniquely written as a direct product of -groups In this paper, an attempt for the computation of ܦ ଶ ర × ܥ ଶ ఱ was made. This happens as the computation of the number of distinct fuzzy subgroups of Cartesian product of the dihedral group of order 2 ସ with another cyclic group having an order 2 ହ
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In inventory control the Economic Order Quantity (EOQ) assumes constant price per unit stock. But... more In inventory control the Economic Order Quantity (EOQ) assumes constant price per unit stock. But discount is given for quantity purchase very often. In the course of this findings, we shall be able to see how the discount upon every purchase of goods and services guarantees reduction in the ordering cost, stock holding cost and purchase price apart from giving room for higher average stock. Inventory can be regarded as a stock of goods and can be considered an idle but usable resource. It includes; labor, raw materials, finished goods and equipment stock is reserved to provide a flow of supply.
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The aspect of pure Mathematics has undergone a lot of dynamic developments over the years. Since ... more The aspect of pure Mathematics has undergone a lot of dynamic developments over the years. Since inception, the study has been extended to some other important classes of finite abelian and nonabelian groups such as the dihedral, quaternion, semidihedral, and hamiltonian groups. Other different approaches have been so far, applied for the classification. The fuzzy sets were introduced by Zadeh [10]. Even though, the story of fuzzy logic started much more earlier, it was specially designed mathematically to represent uncertainty and vagueness. It was also, to provide formalized tools for dealing with the imprecision intrinsic to many problems. The term fuzzy logic is generic as it can be used to describe the likes of fuzzy arithmetic, fuzzy mathematical programming, fuzzy topology, fuzzy graph theory ad fuzzy data analysis which are customarily called fuzzy set theory. This theory of fuzzy sets has a wide range of applications, one of which is that of fuzzy groups developed by Rosenfeld [11]. This by far, plays a pioneering role for the study of fuzzy algebraic structures. Other notions have been developed based on this theory. These, amongst others, include the notion of level subgroups by Das [16] used to characterize fuzzy subgroups of finite groups and that of equivalence of fuzzy subgroups introduced by Murali and Makamba [3] which we use in this work [1]-[9]. Essentially, this work is actually one of the follow up of our paper [15]. By the way, a group is nilpotent if it has a normal series of a finite length n:
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Any finite nilpotent group can be uniquely written as a direct product of pgroups In this paper, ... more Any finite nilpotent group can be uniquely written as a direct product of pgroups In this paper, an attempt for the computation of D 2 4 × C 2 4 was made. This happens to be the computation of the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2 4 with a cyclic group of order sixteen.
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In this paper, we established the number of chains of subgroups in the subgroup lattice of the Ca... more In this paper, we established the number of chains of subgroups in the subgroup lattice of the Cartesian product of the alternating group and cyclic group using computational technique induced by the set of representatives of isomorphism classes of subgroups.
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Suppose that is a non-abelian-group, it was shown that if G is of class 2 then, there exists a no... more Suppose that is a non-abelian-group, it was shown that if G is of class 2 then, there exists a noninner automorphism of order such that ((Φ())) = Φ() [1]. Moreover, if G is of maximal class of order , Fouladi S. [13] showed that the order of the group of all automorphisms of G centralizes the Frattini quotient and is not greater than 2(−2) if and only if G is metabelian. In this paper, we show that if () = 2 and ≠ 2, then { | (1) = 2 } = 1. (Here, b(G) = max(cd(G)) and cd(G)= { (1) | ∈ ()}). Suppose further that is a-group with Frattini factor group of order ≥ 2 −1 we show that the number of elements of order in G is congruent to 1 modulo 1 ≤ ∈ N.
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A well known and referenced global result is the nilpotent characterisation of the finite p-group... more A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This undoubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive analysis. The nilpotent characterisation depicts that there exists a derived series (Lower Central) which must terminate at { } (an identity) , after a finite number of steps. Now, Suppose that G(I) is a neutrosophic p-group of class at least m ≥ 3. We show in this paper that L m−1 (G(I)) is abelian and hence G(I) possesses a characteristic abelian neutrosophic subgroup which is not supposed to be contained in Z(G(I)). Furthermore, If L 3 (G(I)) = 1 such that p m is the highest order of an element of G(I)/L 2 (G(I)) (where G(I) is any neutrosophic p-group) then no element of L 2 (G(I)) has an order higher than p m .
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The concepts of solvability in polynomials is highly imperative, most especially the concerned op... more The concepts of solvability in polynomials is highly imperative, most especially the concerned operations on the sums and the products of the roots. In this paper, an analysis of the fundamentals and the basic characterizations of the roots of polynomials was considered. This involves but is not limited to the sums as well as the products of their roots, not only those of the elementary or lower degrees but also that of any higher degree ݊. Efforts have been intensified to state and prove certain characterizations which each case of the degrees of the polynomial must satisfy. Hence, the analysis further helps in determining of zeros for any given polynomial, including those of higher degrees.
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Suppose that R is a commutative ring which has an identity. It has been shown that if B is an R-a... more Suppose that R is a commutative ring which has an identity. It has been shown that if B is an R-algebra such that a finite group G acts as R-linear automorphisms on. B [Here,
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For the theory of fuzzy group, the classification, most especially the finite p-groups cannot be ... more For the theory of fuzzy group, the classification, most especially the finite p-groups cannot be overlooked. The aspect of pure mathematics has undergone a lot of dynamic developments over the years. For instance, many researchers have treated cases of finite abelian groups. Since inception, the study has been extended to some other important classes of finite abelian and nonabelian groups such as the dihedral, quaternion, semidihedral, and hamiltonian groups. Other different approaches have been so far, applied for the classification. The fuzzy sets were introduced by Zadeh [15]. Even though, the story of fuzzy logic started much more earlier, it was specially designed mathematically to represent uncertainty and vagueness. It was also, to provide formalized tools for dealing with the imprecision intrinsic to many problems. The term fuzzy logic is generic as it can be used to describe the likes of fuzzy arithmetic, fuzzy mathematical programming, fuzzy topology, fuzzy graph theory ad fuzzy data analysis which are customarily called fuzzy set theory. This theory of fuzzy sets has a wide range of applications, one of which is that of fuzzy groups developed by Rosenfield [16]. This by far, plays a pioneering role for the study of fuzzy algebraic structures. Other notions have been developed based on this theory. These, amongst others, include the notion of level subgroups by P.S. Das used to characterize fuzzy subgroups of finite groups and that of equivalence of fuzzy subgroups introduced by Murali and Makamba which we use in this work [1]-[9].
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Papers by SUNDAY A ADEBISI