APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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The intertemporal choice behavior: the role of emotions in a multiagent decision problem
Get PDFTraditional Discounted Utility Model assumes an exponential delay discount function, with a constant discount rate: this implies dynamic consistency and stationary intertemporal preferences. Contrary to the normative setting, decision neuroscience stresses a lack of rationality, i.e., inconsistency, in some intertemporal choice behaviors. We deal with both models are dealt with in the framework of some relevant decision problems
Dynamique du problème 3x + 1 sur la droite réelle
Get PDFThe 3x + 1 problem is a difficult conjecture dealing with quite a simple algorithm on the positive integers. A possible approach is to go beyond the discrete nature of the problem, following M. Chamberland who used an analytic extension to the half-line R + . We complete his results on the dynamic of the critical points and obtain a new formulation the 3x + 1 problem. We clarify the links with the question of the existence of wandering intervals. Then, we extend the study of the dynamic to the half-line R − , in connection with the 3x − 1 problem. Finally, we analyze the mean behaviour of real iterations near ±∞. It follows that the average growth rate of the iterates is close to (2 + √ 3)/4 under a condition of uniform distribution modulo 2
Multi-criteria media mix decision model for advertising multiple product with segment specific and mass media
Get PDFJudicious media planning decisions are crucial for successful advertising of products. Media planners extensively use mathematical models supplemented with market research and expert opinion to devise the media plans. Media planning models discussed in the literature largely focus on single products with limited studies related to the multi-product media planning. In this paper we propose a media planning model to allocate limited advertising budget among multiple products advertised in a segmented market and determine the number of advertisements to be given in different media. The proposed model is formulated considering both segment specific and mass media vehicles to maximize the total advertising reach for each product. The model also incorporates the cross product effect of advertising of one product on the other. The proposed formulation is a multi-objective linear integer programming model and interactive linear integer goal programming is discussed to solve the model. A real life case study is presented to illustrate the application of the proposed model
A multiobjective optimization model for optimal supplier selection in multiple sourcing environment
Get PDFSupplier selection is an important concern of a firm’s competitiveness, more so in the context of the imperative of supply-chain management. In this paper, we use an approach to a multiobjective supplier selection problem in which the emphasis is on building supplier portfolios. The supplier evaluation and order allocation is based upon the criteria of expected unit price, expected score of quality and expected score of delivery. A fuzzy approach is proposed that relies on nonlinear S-shape membership functions to generate different efficient supplier portfolios. Numerical experiments conducted on a data set of a multinational company are provided to demonstrate the applicability and efficiency of the proposed approach to real-world applications of supplier selectio
On weights of 2-repeated bursts
Get PDFIt is generally seen that the behavior of the bursts depend upon the nature of the channel. In a very busy communication channel bursts repeat themselves. In this communication we are exploring the idea of weight consideration of 2-repeated bursts of length b(fixed). Some results on weights of 2-repeated bursts of length b(fixed) are derived and some combinatorial results with weight constraint for 2-repeated bursts of length b(fixed) are also given
On multiplication Γ-modules
Get PDFIn this article, we study some properties of multiplication M Γ - modules and their prime M Γ -submodules. We verify the conditions of ACC and DCC on prime M Γ -submodules of multiplication M Γ - module
The views of primary education teachers on the verification of multiplication
Get PDFLearning and using the four mathematical operations -addition, subtraction, multiplication and division- are very important in the primary school syllabus curriculum. The verifications for the correctness of the operations are simple since they can be justified with the use of basic mathematical properties. However, this is not the case for one of the verifications of multiplication which seems to be preferred by most of the elementary school teachers in their practice. With this verification, the control of multiplication’s correctness is only a necessary but not sufficient condition and it is based on the Numbers’ Theory. In this paper we present the findings of a study on the views of agroup consisted of twenty four elementary school teachers using activities related to the operation of the multiplication and its verification
Visualization of Algebraic Properties of special HV -structures
Get PDFThe paper looks at visualization as it relates to special HV -structures, focusing upon how it can be used to improve the perception and understanding of abstract algebraic concepts. Using position vectors into the plane IR2, abstract algebraic properties of HV -structures are gradually transformed into geometrical shapes
On some probability concepts in fuzzy framework
Get PDFIn this paper some modalities in which the concept of probability can be fuzzied are investigated in order to obtain new tools useful in the modelization of the risks. Some papers related to this approach are [1-6]. Finally, some open problems are proposed to the reader
Classification of Hyper MV -algebras of Order 3
Get PDFIn this paper, we investigated the number of hyper MV -algebrasof order 3. In fact, we prove that there are 33 hyper MV -algebras oforder 3, up to isomorphism