2007, Vol. XIV, Núm. 2 http://hdl.handle.net/2099/9865 2021-08-04T10:32:09Z Fuzzy short-run control charts http://hdl.handle.net/2099/10935 Fuzzy short-run control charts Fonseca, D. J.; Elam, M. E.; Tibbs, L. Statistical control charts are useful tools in monitoring the state of a manufacturing process. Control charts are used to plot process data and compare it to the limits set for the process. Points plotting outside these limits indicate an out-of-control condition. Standard control charting procedures, however, are limited in that they cannot take into account the case when data is of a fuzzy nature. Another limitation of standard charting methods is when the data produced by the process is short-run data. Often, the situation where the data is short-run occurs in conjunction with data that is considered fuzzy. This paper dicusses the development of a fuzzy control chartting technique, called short-Run α-cut p Control Chart, to account for fuzzy data in a short-run situation. The developed chart parameters accounted for the fuzzy nature of the data in a short-run situation. The parameters were validated by comparing the false alarm rates for various combinations of subgroup numbers (m) and subgroup sizes (n). It was shown that for every combination of m and n, the Short-Run α-cut p Control Chart limits produced a lower false alarm rate than that of the standard fuzzy α-cut control chart. 2011-10-18T16:10:41Z Fonseca, D. J. Elam, M. E. Tibbs, L. Statistical control charts are useful tools in monitoring the state of a manufacturing process. Control charts are used to plot process data and compare it to the limits set for the process. Points plotting outside these limits indicate an out-of-control condition. Standard control charting procedures, however, are limited in that they cannot take into account the case when data is of a fuzzy nature. Another limitation of standard charting methods is when the data produced by the process is short-run data. Often, the situation where the data is short-run occurs in conjunction with data that is considered fuzzy. This paper dicusses the development of a fuzzy control chartting technique, called short-Run α-cut p Control Chart, to account for fuzzy data in a short-run situation. The developed chart parameters accounted for the fuzzy nature of the data in a short-run situation. The parameters were validated by comparing the false alarm rates for various combinations of subgroup numbers (m) and subgroup sizes (n). It was shown that for every combination of m and n, the Short-Run α-cut p Control Chart limits produced a lower false alarm rate than that of the standard fuzzy α-cut control chart. Evolutionary design of digital circuits using improved multi expression programming (IMEP) http://hdl.handle.net/2099/10934 Evolutionary design of digital circuits using improved multi expression programming (IMEP) Hadjam, F.Z.; Moraga, C.; Rahmouni, M.K. Evolutionary Electronics is a research area which involves application of Evolutionary computation in the domain of electronics. It is seen as a quite promising alternative to overcome some drawbacks of conventional design. In this paper we propose a methodology based on an Improved Multi Expression Programming (IMEP) to automate the design of combinational logic circuits in which we aim to reach the functionality and to minimize the total number of used gates. MEP is a genetic Programming variant that uses linear chromosomes for solution encoding. A unique MEP feature is its ability of encoding multiples solutions of a problem in a single chromosome. These solutions are handled in the same time complexity as other techniques that encode a single solution in a chromosome. This paper presents the main idea of an improved version of the MEP method, and shows positive preliminary experimental results. 2011-10-18T15:54:37Z Hadjam, F.Z. Moraga, C. Rahmouni, M.K. Evolutionary Electronics is a research area which involves application of Evolutionary computation in the domain of electronics. It is seen as a quite promising alternative to overcome some drawbacks of conventional design. In this paper we propose a methodology based on an Improved Multi Expression Programming (IMEP) to automate the design of combinational logic circuits in which we aim to reach the functionality and to minimize the total number of used gates. MEP is a genetic Programming variant that uses linear chromosomes for solution encoding. A unique MEP feature is its ability of encoding multiples solutions of a problem in a single chromosome. These solutions are handled in the same time complexity as other techniques that encode a single solution in a chromosome. This paper presents the main idea of an improved version of the MEP method, and shows positive preliminary experimental results. On two conditional entropies without probability http://hdl.handle.net/2099/10932 On two conditional entropies without probability Vivona, D.; Divari, M. We generalize the conditional entropy without probability given by Benvenuti in  and we recognize that this form is the most general compatible with the given properties. Then we compare our form of conditional entropy given in  with Benvenuti’s one. 2011-10-14T16:28:36Z Vivona, D. Divari, M. We generalize the conditional entropy without probability given by Benvenuti in  and we recognize that this form is the most general compatible with the given properties. Then we compare our form of conditional entropy given in  with Benvenuti’s one. Short note: counting conjectures http://hdl.handle.net/2099/10924 Short note: counting conjectures De Soto, Adolfo R.; Alvárez, A.; Trillas i Gay, Enric This paper only goal is to study what is, in some ﬁnite ortholattices, the number of conjectures, refutations, consequences, hypotheses and speculations. 2011-10-14T15:42:50Z De Soto, Adolfo R. Alvárez, A. Trillas i Gay, Enric This paper only goal is to study what is, in some ﬁnite ortholattices, the number of conjectures, refutations, consequences, hypotheses and speculations. Existence of extremal solutions for fuzzy polynomials and their numerical solutions http://hdl.handle.net/2099/10919 Existence of extremal solutions for fuzzy polynomials and their numerical solutions Ezzati, R.; Abbasbandy, Saeid In this paper, we consider the existence of a solution for fuzzy polynomials anx^n + an−1x^n−1 + · · · + a1x + a0 = x, where ai, i = 0, 1, 2, · · · , n and x are positive fuzzy numbers satisfying certain conditions. To this purpose, we use ﬁxed point theory, applying results such as the well-known ﬁxed point theorem of Tarski, presenting some results regarding the existence of extremal solutions to the above equation. 2011-10-14T14:49:04Z Ezzati, R. Abbasbandy, Saeid In this paper, we consider the existence of a solution for fuzzy polynomials anx^n + an−1x^n−1 + · · · + a1x + a0 = x, where ai, i = 0, 1, 2, · · · , n and x are positive fuzzy numbers satisfying certain conditions. To this purpose, we use ﬁxed point theory, applying results such as the well-known ﬁxed point theorem of Tarski, presenting some results regarding the existence of extremal solutions to the above equation. A primer on media theory http://hdl.handle.net/2099/10602 A primer on media theory Ovchinnikov, S. Media theory is a new branch of discrete applied mathematics originally developed in mid-nineties to deal with stochastic evolution of preference relations in political science and mathematical psychology. However, many diﬀerent examples of media can be found, ranging from learning spaces to hypercube computers, suggesting that this concept is ubiquitous. The paper presents very basic concepts and results of media theory and is aimed at a wide body of researchers in discrete applied mathematics. 2011-07-14T18:23:21Z Ovchinnikov, S. Media theory is a new branch of discrete applied mathematics originally developed in mid-nineties to deal with stochastic evolution of preference relations in political science and mathematical psychology. However, many diﬀerent examples of media can be found, ranging from learning spaces to hypercube computers, suggesting that this concept is ubiquitous. The paper presents very basic concepts and results of media theory and is aimed at a wide body of researchers in discrete applied mathematics.