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A NUMERICAL APPROACH TO UNCERTAINTY IN ROUGH LOGIC
2013
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
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More precisely, we propose the notions of accuracy degree and roughness degree for each formula in rough logic with the intension of measuring the extent to which any formula is accurate and rough, respectively ...
For this purpose, we introduce a kind of numerical approach to the study of rough logic in this paper. ...
Acknowledgements We would like to thank the anonymous referees for their valuable comments and suggestions for improving this paper. ...
doi:10.1142/s0218488513500207
fatcat:k5sqrjmx6zaopaxd5ip5t3bbxm
Roughness Of A Machined Surface In Milling Operation For Ferrous And Non Ferrous A Fuzzy Logic Based Model To Predict Surface Materials Using Hss End Mill Cutting Tool
2016
Zenodo
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roughness of a machined surface in 6101 aluminum alloy, Copper of Electrolytic grade and Mild Steel 2062 milling operation using HSS end mill cutter of 12 mmdiameter. ...
In this research work, spindle speed (SS), feed rate (FR) and depth of cut (DOC) are selected as machining parameters while surface roughness is considered as performance parameters to perform end milling ...
of the predicted and measured value and the measured value. = ( | − | ) × 100% Where ei is the individual error, and Rm and Rp are measured and predicted value of surface roughness. Accuracy and Model ...
doi:10.5281/zenodo.48821
fatcat:mbsrlehlz5bohpnfmnk6r5iyei
Uncertainty measures for rough formulae in rough logic: An axiomatic approach
2012
Computers and Mathematics with Applications
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To solve such a problem, a framework of uncertainty measure for formulae in rough logic is presented in this paper. ...
Then based on this fundamental notion, the notions of rough accuracy degree, roughness degree for any formula, and rough inclusion degree, rough similarity degree between any two formulae are also proposed ...
upon this fundamental notion, the notions of accuracy degree, roughness degree for any formula and rough inclusion degree, the rough similarity degree for any two formulae are also introduced and their ...
doi:10.1016/j.camwa.2011.10.074
fatcat:awjohis25rgpzccep5rs6c5rni
Development of In-process Surface Roughness Evaluation System for Cast Nylon 6 Turning Operation
2011
Procedia Engineering
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This paper aims to develop in-process surface roughness evaluation system for cast nylon 6 turning operation. ...
The method validation results exhibited that precision and surface roughness value obtained from conventional measuring method and the developed prediction system was not significant different. ...
In order to compare an accuracy of the developed system, the surface roughness of machined workpieces were measured by AltiSurf500 surface roughness and profile meter with ± 3µm of accuracy. ...
doi:10.1016/j.proeng.2011.08.903
fatcat:5dzykzfoubesvlkptchpkyocse
Rough Mereology as a Tool for Knowledge Discovery and Reasoning in Intelligent Systems: A Survey
2013
International Journal of Intelligence Science
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In this work, we present an account of our recent results on applications of rough mereology to problems of 1) knowledge granulation; 2) granular preprocessing in knowledge discovery by means of decision ...
rules; 3) spatial reasoning in multi-agent systems in exemplary case of intelligent mobile robotics. ...
Acknowledgements The author wishes to thank his former students, Dr Piotr Artiemjew and Paul Osmialowski who cooperated with the author in the tasks of implementing author's ideas and test them on real ...
doi:10.4236/ijis.2013.31a007
fatcat:732mfhfrmvautm2mvdplvljoay
Fuzzy Based Visual Texture Feature For Psoriasis Image Analysis
2015
Zenodo
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In this work, we have applied this feature for image classification and segmentation. The fuzzy concept is employed to overcome the imprecision of roughness. ...
We have obtained promising results for identifying affected lesions by using the roughness index and severity level estimation. ...
TABLE III FORMULA Classification accuracy using the roughness feature is 95% whereas we obtained 100% accuracy for the proposed fuzzy based approach. ...
doi:10.5281/zenodo.1099882
fatcat:es33xmxm3fdzvpyy76fh3eecl4
Fuzzy-Rough Set Based Multi-labeled Emotion Intensity Analysis for Sentence, Paragraph and Document
[chapter]
2015
Lecture Notes in Computer Science
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In this paper, we propose a fuzzy-rough set based approach to detect the multi-labeled emotions and calculate their corresponding intensities in social media text. ...
Using the proposed fuzzy-rough set method, we can simultaneously model multi emotions and their intensities with sentiment words for a sentence, a paragraph, or a document. ...
Calculate the improving fuzzy-rough upper approximation ( ) F A and fuzzy-rough lower approximation ( ) F A // see formula (5) and (6) ;
4. ...
doi:10.1007/978-3-319-25207-0_41
fatcat:oidpm7ob2bgtxm5qze4eunkhze
Rule learning: Ordinal prediction based on rough sets and soft-computing
2006
Applied Mathematics Letters
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This work promotes a novel point of view in rough set applications: rough sets rule learning for ordinal prediction is based on rough graphical representation of the rules. ...
Unlike in typical rule learning, we construct ordinal prediction with a mathematical approach, rough sets, rather than purely rule quality measures. ...
Acknowledgements This research was supported by NSERC, UDP, Mahidol University and KMITL. Thanks are also due to Arnold Mitnitski, S. Jiampojamarn, G. Zaverucha. ...
doi:10.1016/j.aml.2005.08.004
fatcat:umlx7lza2bh6xkzr6jxm6qt4re
Page 9551 of Mathematical Reviews Vol. , Issue 2004m
[page]
2004
Mathematical Reviews
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Moreover we give a measure of fuzziness, fuzzy entropy, induced by roughness in a probabilistic rough set and make some characterizations of this measure. ...
Finally, the fuzzy entropy of a rough classification is defined by the fuzzy entropy of correspond- ing rough sets, and it is shown that one possible application of it lies in measuring the inconsistency ...
An Email Classification Scheme Based on Decision-Theoretic Rough Set Theory and Analysis of Email Security
2005
TENCON 2005 - 2005 IEEE Region 10 Conference
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The theory may be formulated and interpreted in terms of three-valued logic, in which each value corresponds to one of the three regions. ...
More importantly, the three-valued logic is non-truthfunctional, that is, one may not be able to obtain the value of compound formula based on its component sub-formulas. ...
In other words, we trade precision (i.e., the accuracy) for generality (i.e., the size) with the probabilistic positive region. ...
doi:10.1109/tencon.2005.301121
fatcat:p7cqmdwsnzcgfdrkzdsgmhbjay
Rough Sets In Data Analysis: Foundations and Applications
[chapter]
2008
Studies in Computational Intelligence
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The language for expressing dependencies is the descriptor logic. A descriptor is a formula (a = v) where v ∈ Va, interpreted in the set U as [a = v] = {u : a(u) = v}. ...
Rough sets allow for establishing dependencies among groups of attributes: a group B depends functionally on group C when IN D(C) ⊆ IN D(B): in that case values of attributes in B are functions of values ...
Applications of rough sets All these systems are presented in [30] . ...
doi:10.1007/978-3-540-78534-7_2
fatcat:6nwrg5dmargezo75rqtbw6hgou
Rough Sets and Rough Logic: A KDD Perspective
[chapter]
2000
Studies in Fuzziness and Soft Computing
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In the second part of this Chapter, we discuss rough logic and related incomplete logics from a wider perspective of logical approach in KDD. ...
In the ensuing years, we have witnessed a systematic, world-wide growth of interest in rough sets and their applications. ...
These are accuracy of approximation, measure of positive region, rough membership functions and dependencies in a degree. ...
doi:10.1007/978-3-7908-1840-6_13
fatcat:vy35ujzaszcwvevywvjcms4wzy
Page 4294 of Mathematical Reviews Vol. , Issue 94h
[page]
1994
Mathematical Reviews
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degree of accuracy in defining objects or sets is measured in terms of so-called indiscernibility relations. ...
The objective of rough logics is to provide a method of inference in situations where the object of inference is not known precisely and can only be approached in a more or less adequate manner and the ...
A first-order logic for reasoning under uncertainty using rough sets
1994
Journal of Intelligent Manufacturing
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logic formulae are used in automated reasoning. ...
The theory of rough sets allows us to handle uncertainty without the need for precise numbers, and so has some advantages in such situations. ...
Thus RV(P(a)) ≥ RV(Åx i P(x i )).s These theorems enable us to propagate rough measures in our logic of rough objects PRL. ...
doi:10.1007/bf00123694
fatcat:s6zcaxxwbbdjbbva7cuczlonqa
Rudiments of rough sets
2007
Information Sciences
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Worldwide, there has been a rapid growth in interest in rough set theory and its applications in recent years. ...
In the article, we present the basic concepts of rough set theory and point out some rough setbased research directions and applications. ...
Many thanks to Professors James Peters and Dominik Ś le ßzak for their incisive comments and for suggesting many helpful ways to improve this article. ...
doi:10.1016/j.ins.2006.06.003
fatcat:ejtuxp4zubfadpnldddilhwqgi
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