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An idea for a theory of motivational needs by simplicial geometry

September 15, 2017

For optimal management and intensive use of human resources, it is necessary the use of subtle methods harmonizing the needs of employees with the organization’s objectives in the conditions of markets. On the frame of advanced society, changes of the relative position of human needs are possible. The majority of needs are becoming closer to each other, the initial principal needs being met relatively quickly in career management, following then a long way towards self-realization until updating self-esteem. Starting from human needs (1. Physiological, 2. Safety, 3. Social, 4. Esteem, 5. Self-realization) as defined by A. H. Maslow and that, people tend to meet in priority order 1 to 5, we try a generalization by simplicial geometry. We build the tetrahedron in Figure 1 and we allocate to the main vertex on the top the last two needs. For human resource management we can use this simplicial complex represented by the tetrahedron whose vertices are the main needs of the employees and where are recognized also the versions ERD (Alfred Adler) and Herzberg.


As the employee’s position is closer to the top vertex, decreases weight of personal hygiene needs and increase the self-realization (+ esteem) needs. The volume of the truncated pyramid between initial hygienic needs (base tetrahedron) and the triangle of current hygienic needs (in plan of section containing the current position of the employee, plan that is not necessarily parallel to the base) is the total individual satisfaction, with the maximum in top vertex D. Need for esteem can be positioned on the height of the tetrahedron slightly below the top vertex, as its preliminary stage. The subject tends to get to the top vertex, which is maximum capacity of what could be the person. This is a 3-simplex fully quantifying, depending on the position of a point in its volume, on its surface, on the edges, all types of needs may have some individual or group of individuals. These needs can be called derived needs from the fundamental needs (allocated to vertices). It defines a way of measuring the position coordinates of a point representing respective share of needs etc. There evolutionary way to the top vertex, without touching it, which is a sort of maximum suction, a singularity. Tetrahedron can represent more people, resulting in their relative positions. The dynamic of a person can result by positioning in tetrahedron his developments at various points in time, a trajectory. People may be represented separately, with simplex attached, such as a tetrahedron (3-simplex), triangle (2-simplex), segment (1-simplex), and point (0-simplex). Chaining them after a certain logic (flow technology, SCM, mobility, etc.) is a super graph. Network of simplexes form a simplicial complex. The position of his needs is closer to the top vertex of higher order needs, the employee is highly qualified and accomplished. The pyramid may have a polygonal base with n vertices (finite number of principal needs) or circular (infinite number of main needs), resulting in a conception of the specific needs of a highly developed and refined society in which human needs are diversified and nuanced. In the area of singularity, man can achieve the highest spiritual needs, such as forgiveness and kindness. Forgiveness is at his disposal to receive Jesus as Lord and Savior (2Cor 9.15). The kindness that comes from faith (2Tes1.11-12), it was received by the gift of the Holy Spirit at Whitsuntide. Both gifts are the basis of the theo-system. For people, classes of people or different domains there may even be different cones. Other geometric variants may also be designed. Edges that climb to the top can be non-linear, approaching the peak accelerated (exponentially), attenuated (parabolic, logistic curve), asymptotic (hyperbolic etc.). The same considerations can be made for other area of activities. On the management of urban systems, for example, in the basic triangle the vertex ‘Social’ is replaced with ‘Urban mobility’, and the top vertex of the tetrahedron will be the ‘Quality of urban life’, resulting simplicial complex of urban needs. Through surveys and statistical analyzes can be evaluated simplexes specific to urban zones or other systems, resulting in the end the global simplicial complex of urban or metropolitan area in question. And if needs are replaced with performance criteria, then applications come from optimization theory itself. By analogy, a connection with the black holes theory and their entropy could be found. For example, tending to the top, then to the infinite through a wormhole, human needs can expand into a symmetrical pyramid (cone). The same with direct logistics versus reverse logistics. Is this the pyramid (cone) that regresses the needs after retirement of the person (after reaching the peak of self-reliance)? That is, after passing through singularity (the wormhole), the symmetrical pyramid (cone) begins to expand to the dissipation of accumulations performed in the first pyramid. Or, going ‘beyond’, it’s happening the scattering of the material part, remaining something that lasts over time? In other words, blessed are those who reach perfection in the top…


From → Mgmt & Org

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