New Similarity Measure Between Two Fuzzy Sets

2006 ◽  
Vol 10 (6) ◽  
pp. 946-953 ◽  
Author(s):  
Hassan Rezaei ◽  
◽  
Masashi Emoto ◽  
Masao Mukaidono
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
The Universe ◽  
Universe Of Discourse

We propose a new similarity measure between two fuzzy sets based on their relative sigma count and extend it to define two other measures, one a similarity measure between elements in fuzzy sets and the second a similarity measure between fuzzy sets in which all elements in the universe of discourse are weighted. We compare our proposal to several previous measures proposed in [1-6].

scholarly journals Mathematical Models of the Simplest Fuzzy Two-Term (PI/PD) Controllers Using Algebraic Product Inference

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
Murali Bosukonda ◽  
Naresh Kelothu
Keyword(s):  
Mathematical Models ◽  
Fuzzy Sets ◽  
Output Variable ◽  
Control Rules ◽  
Variable Control ◽  
Control Community ◽  
Input Variables ◽  
The Universe ◽  
Control Output ◽  
Universe Of Discourse

This paper reveals mathematical models of the simplest Mamdani PI/PD controllers which employ two fuzzy sets (N: negative and P: positive) on the universe of discourse (UoD) of each of two input variables (displacement and velocity) and three fuzzy sets (N: negative, Z: zero, and P: positive) on the UoD of output variable (control output in the case of PD, and incremental control output in the case of PI). The basic constituents of these models are algebraic product/minimum AND, bounded sum/algebraic sum/maximum OR, algebraic product inference, three linear fuzzy control rules, and Center of Sums (CoS) defuzzification. Properties of all these models are investigated. It is shown that all these controllers are different nonlinear PI/PD controllers with their proportional and derivative gains changing with the inputs. The proposed models are significant and useful to control community as they are completely new and qualitatively different from those reported in the literature.

Similarity measure between fuzzy sets and between elements

1994 ◽  
Vol 62 (3) ◽  
pp. 291-293 ◽  
Author(s):  
Hyung Lee-Kwang ◽  
Yoon-Seon Song ◽  
Keon-Myung Lee
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure

Are “All-and-Some” Statements Falsifiable After All?: The Example of Utility Theory

1986 ◽  
Vol 2 (2) ◽  
pp. 185-195 ◽  
Author(s):  
Philippe Mongin
Keyword(s):  
Melting Point ◽  
Utility Theory ◽  
Logical Form ◽  
Empirical Science ◽  
Demarcation Criterion ◽  
Existential Sentences ◽  
The Universe ◽  
Universe Of Discourse

Popper's well-known demarcation criterion has often been understood to distinguish statements of empirical science according to their logical form. Implicit in this interpretation of Popper's philosophy is the belief that when the universe of discourse of the empirical scientist is infinite, empirical universal sentences are falsifiable but not verifiable, whereas the converse holds for existential sentences. A remarkable elaboration of this belief is to be found in Watkins's early work (1957, 1958) on the statements he calls “all-and-some,” such as: “For every metal there is a melting point.” All-and-some statements (hereafter AS) are both universally and existentially quantified in that order. Watkins argued that AS should be regarded as both nonfalsifiable and nonverifiable, for they partake in the logical fate of both universal and existential statements. This claim is subject to the proviso that the bound variables are “uncircumscribed” (in Watkins's words); i.e., that the universe of discourse is infinite.

Relationship between Selic rate and Basel III parameters - A statistics approach and a fuzzy forecasting model

2021 ◽  
pp. 1-14
Author(s):  
Thiago Henrique Barbosa de Carvalho Tavares ◽  
Bruno Pérez Ferreira ◽  
Eduardo Mazoni Andrade Marçal Mendes
Keyword(s):  
Cross Correlation ◽  
Data Distribution ◽  
Forecasting Model ◽  
Basel Iii ◽  
Output Data ◽  
Basel Accords ◽  
Proposed Model ◽  
The Relationship ◽  
The Universe ◽  
Universe Of Discourse

In this work the relationship between the Selic rate and some bank parameters defined by the so-called Basel Accords is studied. The cross-correlation between the Selic rate and the parameters is used to explain how these parameters affect the Selic rate and vice-versa so as to define the predictability of the Selic rate using (some of) these parameters as inputs. A model is then proposed for predicting the Selic rate based on some specific parameters using fuzzy logic ideas, which dealt with a partitioning of the universe of discourse using clusters related to the output data distribution. The proposed model is compared to four other known models in the literature and showed to have better performance in average compared to all other models.

scholarly journals Time Series Seasonal Analysis Based on Fuzzy Transforms

2017 ◽  
Author(s):  
Ferdinando Di Martino ◽  
Salvatore Sessa
Keyword(s):  
Time Series ◽  
Seasonal Forecasting ◽  
Weather Station ◽  
Fuzzy Transform ◽  
Italian Region ◽  
Mean Temperature ◽  
Forecasting Method ◽  
Seasonal Analysis ◽  
The Universe ◽  
Universe Of Discourse

We define a new seasonal forecasting method based on fuzzy transforms. We use the best interpolating polynomial for extracting the trend of the time series and generate the inverse fuzzy transform on each seasonal subset of the universe of discourse for predicting the value of a an assigned output. Like first example, we use the daily weather dataset of the municipality of Naples (Italy) starting from data collected from 2003 till to 2015 making predictions on the following outputs: mean temperature, max temperature and min temperature, all considered daily. Like second example, we use the daily mean temperature measured at the weather station “Chiavari Caperana” in the Liguria Italian Region. We compare the results with our method, the average seasonal variation, ARIMA and the usual fuzzy transforms concluding that the best results are obtained under our approach in both examples.

scholarly journals Keadilan Hukum Jeremy Bentham dan Relevansinya bagi Praktik Hukum Kontemporer

Humaniora ◽  
2012 ◽  
Vol 3 (1) ◽  
pp. 299
Author(s):  
Frederikus Fios
Keyword(s):  
Global Politics ◽  
Jeremy Bentham ◽  
Ideal Model ◽  
The Core ◽  
The Subject ◽  
Core Idea ◽  
The Universe ◽  
Universe Of Discourse ◽  
British Philosopher ◽  
The Ideal

Fair punishment for a condemned has been long debated in the universe of discourse of law and global politics. The debate on the philosophical level was no less lively. Many schools of thought philosophy question, investigate, reflect and assess systematically the ideal model for the subject just punishment in violation of the law. One of the interesting and urgent legal thought Jeremy Bentham, a British philosopher renowned trying to provide a solution in the middle of the debate was the doctrine or theory of utilitarianism. The core idea is that the fair punishment should be a concern for happiness of a condemned itself, and not just for revenge. Bentham thought has relevance in several dimensions such as dimensions of humanism, moral and utility.  

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