Building Probability Functions by Persian Curve
- 1 Shiraz University, Iran
- 2 Parsian Azad University, Iran
Copyright: © 2020 Abdolrasoul Ranjbaran, Mohammad Ranjbaran and Fatema Ranjbaran. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Construction of a probability function for a given random data is the main theme of several branches of human knowledge, where it is an active area of study. In spite of great developments, the solution needs extensive effort and the results contain epistemic uncertainty. In this study, making use of the logical reasoning and concise mathematical logics, a method called the change of state philosophy, which is digested in the Persian curves, is derived. The Persian curves that have the necessary and sufficient condition for a probability function, are explicitly derived, via the ordinates of four specific points on the random data. The proposed Persian curves are free of epistemic uncertainty and their flexibility provide the possibility for the insertion of the expert’s will. The work is validated via concise logical formulation and comparison of the results with those of the others.
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- The Change of State Philosophy
- Persian Curves
- Phenomenon Functions
- State Functions
- State Variable