{"title":"Fuzzy-Bayes Decision Making with Reserved Judgement","authors":"Houju Hori Jr.","doi":"10.4236/jamp.2023.119181","DOIUrl":"https://doi.org/10.4236/jamp.2023.119181","url":null,"abstract":"This paper discusses a method for identifying states in a multistage Decision Making Problem in which an Indifferent Event is either predetermined or can be automatically derived after the fact. First, when they are pre-set, the amount of possible information about Indifferent Event tends to be large. Therefore, since the decision is risk tolerant, the Max-Product method of Tanaka et al. is used to calculate the expected utility possibility. Next, in the case of automatic derivation after the fact, the amount of information on the possibility of Indifferent Event is relatively small, so the expected utility possibility is derived using Zadeh’s Fuzzy Event Possibility Measure. Here, it is assumed that the setting of the utility function is independent of the information on the occurrence of the Indifferent Event and is identified by the decision maker by lot drawing using the certainty equivalence method. As a concrete example, we focus on the pass/fail decision of a recommendation test, which is a two choice question in the No-Data Problem, and illustrate the multistage state identification method.","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135838152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solitons and Bifurcations for the Generalized Tzitzéica Type Equation in Nonlinear Fiber Optics","authors":"Xujie Jiang","doi":"10.4236/jamp.2023.1110201","DOIUrl":"https://doi.org/10.4236/jamp.2023.1110201","url":null,"abstract":"Solitons and bifurcations for the generalized Tzitzéica type equation are studied by using the theory of dynamical systems and Hamilton function. With the help of Maple and bifurcation theory of differential equations, the bifurcation parameter conditions and all the bifurcation phase portraits are obtained. Because the same energy value of the Hamiltonian function is corresponding to the same orbit, thus the periodic wave solutions, bright soliton and dark soliton solutions are defined.","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135212328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Variational Method in Thermodynamics of Two-Component Charged Gas","authors":"M. Grinfeld, P. Grinfeld","doi":"10.12691/amp-9-1-3","DOIUrl":"https://doi.org/10.12691/amp-9-1-3","url":null,"abstract":"Based on appropriately generalized Gibbs’ variational methodology, we analyzed two-component systems with electrostatic interaction. We begin by formulating isoperimetric-type variational problems, and then proceed with calculation of the first and second variations of the corresponding functionals. The first variation is used for establishing the conditions of equilibrium of the systems under study, whereas the second – is for establishing conditions of stability of equilibrium configurations. The established conditions of equilibrium permit calculating distributions of the mass densities of the components as well as distributions of entropy (or temperature) and the electric potential. To that end, we have to solve a system of four integral equations and one algebraic.","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"360 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86801096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Magneto-Solid Mechanics and the Aleph Tensor","authors":"M. Grinfeld, P. Grinfeld","doi":"10.12691/amp-8-1-2","DOIUrl":"https://doi.org/10.12691/amp-8-1-2","url":null,"abstract":"In Reference [1], a new master system was formulated allowing to the analyze polarizable and/or magnetizable solids. The central distinction of the suggested approach consists in the systematic usage of the Cardinal Aleph tensor. By choosing different thermodynamic potentials, the suggested approach can be recommended for the analysis of a wide variety of static or dynamic engineering systems. Given the variety of possible applications, the system is relatively simple and can be analyzed not only computationally but also analytically. However, in order to make the analytical and computational results simpler and more transparent it makes sense to adjust the general system for different applications. Using our approach, we formulate the exact nonlinear system for dynamics of magnetizable fluid and solids. Then, we apply our exact nonlinear general system to ferrofluids and its linearized version to piezo-magnetic solids.","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85360904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Alpha-Emitting Nanoparticulates and Their Various Physical Effects: More Case Studies in Laboratory Research and History","authors":"F. Pirot","doi":"10.12691/AMP-8-1-1","DOIUrl":"https://doi.org/10.12691/AMP-8-1-1","url":null,"abstract":"Here is presented a range of cases in which alpha-emitting nanoparticulates play a key role : the first part involves mathematical and physical deconstruction of two examples of laboratory experiments, on “exciton” physics (dark-to-bright “exciton” conversion, the demonstration shows why “exciton” is a relatively poor concept) and on the anomalous Nernst effect, both recently published in Physical Reviews X; the link of alpha-emitting nanoparticulates with solar storms is then shown; and an ancient legend in medieval literature (the Arthurian cycle) also covered (the physical basis behind the legend is explained - demonstration of the actual production of particularly healthy waters collected by “Merlin” after a battle, of why it is a detoxifiant - geology and etymology being used to locate more precisely the place of the actual battles that inspired the myth - from the Gallic Wars of Julius Caesar).","PeriodicalId":15035,"journal":{"name":"Journal of Applied Mathematics and Physics","volume":"121 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86507230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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