Parents Preference for Students’ Choice of Urban Schools in Benin City, Nigeria: Integrated AHP Intuitionistic Fuzzy Topsis

The paper examines the attributes considered by parents for school choice enrolment for their children and wards. Four classes of school alternatives with twelve attributes were considered in this work. A survey was randomly carried out in the three Local government areas in Benin City. The Analytical Hierarchy Process (AHP) was adopted  in evaluating the attributes, while intuitionistic fuzzy TOPSIS (Technique for Order Preference by Similarity to the Ideal Solution) was applied in the ranking of the alternatives. In adopting the method two metric functions were used with both producing same result indicating consistency and correctness of results. The Missionary schools (A4) is the most preferred of the 4 alternative schools, closely followed by private schools for middle class (A2) as second best preferred and the premier private schools for the elite (A3) is third best preferred. While, the Public (government) schools (A1) is bracing the rear as least preferred of all the 4 alternatives. It is concluded that adopting scientific approach to humanistic system is appropriate and produces accuracy in results.Keyword: School choice, intuitionistic fuzzy TOPSIS and attribute

Experimental analysis of humanistic systems in decision making

Computational techniques for generating intuitionistic fuzzy random numbers (IFRNs) for the formulation of test problems in the management of humanistic systems have been developed and implemented. The research was conducted to address the limited scope of the method and agent architecture for the generation of intuitionistic fuzzy numbers. Intuitionistic fuzzy variable is amenable to human decision processes, and an agent architecture was transformed into a MATLAB program and implemented to generate any required IFRNs, which were applied to solve multi-attributes decision making (MADM) problems for humanistic systems using the principles of Technique for Order Preference by Similarity to the Ideal Solution (TOPSIS). The inadequacy of using a single metric function in the method was also illustrated. Numerical experiments were performed to analyse the contradiction rate of the hamming and euclidean distances.Keywords: Intuitionistic fuzzy random numbers, Pseudorandom numbers, MADM, TOPSIS, Linguistic variabl

Premium adjustment: actuarial analysis on epidemiological models

In this paper, we analyse insurance premium adjustment in the context of an epidemiological model where the insurer’s future financial liability is greater than the premium from patients. In this situation, it becomes extremely difficult for the insurer since a negative reserve would severely increase its risk of insolvency, or might cause bankruptcy. This situation might also make many policy holders withdraw from the insurance by simply terminating their premium payments. It is proved that the benefitreserve changes from negative to positive and from concave to convex under the condition stated in Proposition 5.3 of this paper. As the premium tends to optimum premium rate, the local maximum in the first arch approaches the local minimum in the second arch and they all converge at a time point tm. As a result, the reserve benefit shifts upwards as the premium rate increases. It is concluded that a proper premium rate between initial and optimum premium rates exist in order to fulfil certain reserves requirements and an algorithm to determine this value was developed