Recent Submissions

  • Item type:Item,
    Socio-Economic Variables And Contraceptive Usage : Implication For Social Marketing
    (International Journal of Management & Business Studies, 2011-06) Fasina Fagbeminiyi
    The study on fertility behaviour, sexual negotiation and contraceptive use among married couples was undertaken in Osogbo community of Osun state. It was aimed at examining how reproductive decisions and outcomes are negotiated within sexual unions and also to determine the factors that inhibit discussion of contraception among couples. A multistage probability sampling procedure was adopted to select the sampling using the enumeration maps prepared by the National Population Commission for the 1991 census. Multivariate logistics regression analysis technique was employed to determine the pattern and degree of relationships between the variables. It was observed that contraceptive use among couples were significantly affected by sex, religion, ever given birth and newly married. Social marketing among other strategies was recommended
  • Item type:Item,
    On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras)
    (Neutrosophic Sets and Systems, University of New Mexico., 2020) Ilori, Kehinde
    Neutrosophy theory has found application in health sciences in recent years. There is the need to develop neutrosophic algebraic systems which are good and appropriate for studying and understanding the effects of diseases and their possible treatments. In order to achieve this, special types of quasi neutrosophic loops and their isotopy needed to be introduced for this purpose. Fenyves BCI-algebras are BCI-algebras (special types of quasi neutrosophic loops) that satisfy the 60 Bol-Moufang identities. In this paper, the isotopy of BCI-algebras are studied. Neccessary and sufficient conditions for a groupoid isotope of a BCI-algebra to be a BCI-algebra are established. It is shown that 𝑝-semisimplicity, quasi-associativity and BCK-algebra are invariant under isotopies which are determined by some regular permutation groups. Furthermore, the isotopy of both the 46 associative and 14 non-associative Fenyves BCI-algebras are also studied. It is shown that for BCI-alegbras, associativity is isotopic invariant. Hence, the following set of Fenyves BCI algebras (𝐹𝑖-algebras) are invariant under any isotopy: 𝑖 ∈ {1,2,4,6,7,9,10,11,12,13,14,15,16,17,18,20,22,23,24 , 25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,43,44,45,47,48,49,50,51,53,57,58,60}. It is shown that the following sets of non-associative Fenyves BCI algebras (𝐹𝑖-algebras) are invariant under isotopies which are determined by some regular permutation groups: 𝑖 ∈{3,5,8,19,21,29,39,42,46,52,55,56,59}, {56}, {8,19,29,39,46,59}. In conclusion, this is the isotopic study of 120 particular types of the 540 varieties of Fenyves quasi neutrosophic triplet loops (FQNTLs) which were recently discovered, wherein the 14 non-associative Fenyves BCI-algebras do not necessarily have the Iseki's conditions (S). Importantly, applying these results, the initial (old, sick or healthy) state of a person can be represented by a type of Fenyves BCI-algebra, while the Fenyves BCI-algebra isotope will represent the final (new, healthy or sick) state of the person as a result of the prescribed medical treatment, which the isotopism represents. The isotopism is a measure of the change from the old state of body condition to the new state.
  • Item type:Item,
    Analysis of Weak Associativity in Some Hyper-Algebraic Structures that Represent Dismutation Reactions
    (MATCH Communications in Mathematical and in Computer Chemistry, 2025) Ilori, Kehinde
    In this paper, some chemical systems of Tin (Sn), Indium (In) and Vanadium (V) which are represented by hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) were studied. The analyses of their algebraic properties and the probabilities of elements in dismutation reactions were carried out with the aid of computer codes in Python programming language. It was shown that in the dismutation reactions, the left nuclear (Nλ)-probability, middle nuclear (Nµ)-probability and right nuclear (Nρ)-probability for each of the hyper-algebraic structures (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) is less than 1.000. This implies that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are non-associative hyper-algebraic structures. Also, from the results obtained for FLEX-probability, it was shown that, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) have flexible elements because the values of their FLEX-probabilities are 1.000 each. Hence, (SSn, ⊕), (SIn, ⊕) and (SV , ⊕) are flexible. Overall, (SV , ⊕) exhibited the lowest measure of weak-associativity, (SSn, ⊕) exhibited lower measure of weak-associativity, and (SIn, ⊕) exhibited a low measure of weak-associativity.
  • Item type:Item,
    POLYGROUPOID, POLYQUASIGROUP, POLYLOOP AND THEIR NUCLEI
    (Journal of the Nigerian Mathematical Society, 2025) Ilori, Kehinde
    In this paper, new hyper-algebraic structures called polygroupoid, polyquasigroup and polyloop were introduced with concrete examples given. The first, second, third and fourth left (middle, right) nuclei of polygroupoid were introduced and studied. It was shown that first left (middle, right) nuclei of a polygroupoid is contained in second, third and fourth left (middle, right) nuclei of the polygroupoid. Hence, the second, third and fourth left (middle, right) nuclei of a polygroupoid generalize the first left (middle, right) nuclei of the polygroupoid. Examples of polyquasigroups and polyloops that satisfy the above results were provided.