An intrinsic fuzzy set on the universe of discourse of predicate formulas

2006 ◽  
Vol 157 (24) ◽  
pp. 3145-3158 ◽  
Author(s):  
Guo-Jun Wang ◽  
Xiao-Yan Qin ◽  
Xiang-Nan Zhou
Keyword(s):  
Fuzzy Set ◽  
The Universe ◽  
Universe Of Discourse

scholarly journals Cubic M-polar Fuzzy Hybrid Aggregation Operators with Dombi’s T-norm and T-conorm with Application

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 646
Author(s):  
Muhammad Riaz ◽  
Muhammad Abdullah Khokhar ◽  
Dragan Pamucar ◽  
Muhammad Aslam
Keyword(s):  
Fuzzy Set ◽  
Circular Economy ◽  
Fuzzy Number ◽  
Aggregation Operators ◽  
Multi Criteria Decision Making ◽  
Comparison Analysis ◽  
Membership Grade ◽  
The Universe ◽  
Universe Of Discourse ◽  
Fuzzy Interval

A cubic m-polar fuzzy set (CmPFS) is a new hybrid extension of cubic set (CS) and m-polar fuzzy set (mPFS). A CS comprises two parts; one part consists of a fuzzy interval (may sometimes be a fuzzy number) acting as membership grade (MG), and the second part consists of a fuzzy number acting as non-membership grade (NMG). An mPFS assigns m number of MGs against each alternative in the universe of discourse. A CmPFS deals with single as well as multi-polar information in the cubic environment. In this article, we explore some new aspects and consequences of the CmPFS. We define score and accuracy functions to find the priorities of alternatives/objects in multi-criteria decision-making (MCDM). For this objective, some new operations, like addition, scalar/usual multiplication, and power, are defined under Dombi’s t-norm and t-conorm. We develop several new aggregation operators (AOs) using cubic m-polar fuzzy Dombi’s t-norm and t-conorm. We present certain properties of suggested operators like monotonicity, commutativity, idempotency, and boundedness. Additionally, to discuss the application of these AOs, we present an advanced superiority and inferiority ranking (SIR) technique to deal with the problem of conversion from a linear economy to a circular economy. Moreover, a comparison analysis of proposed methodology with some other existing methods is also given.

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.  

Restrictionism and Expansionism

2019 ◽  
pp. 87-119
Author(s):  
J. P. Studd
Keyword(s):  
Domain Restriction ◽  
Absolute Generality ◽  
The Universe ◽  
Quantifier Domain Restriction ◽  
Universe Of Discourse

If her view is to diffuse charges of mystical censorship, the relativist needs a well-motivated account of what prevents our quantifying over an absolutely comprehensive domain. But relativists may seek to meet this challenge in different ways. One option is to draw on more familiar cases of quantifier domain restriction in order to motivate the thesis that a quantifier’s domain is always subject to restriction. An alternative is to permit unrestricted quantifiers but maintain that even these fail to attain absolute generality on the grounds that the universe of discourse is always open to expansion. This chapter outlines restrictionist and expansionist variants of relativism and argues that the importance of the distinction comes out in two influential objections that have been levelled against relativism.

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