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Information Structures in an Ordered Information System Under Granular Computing View and Their Optimal Selection Based on Uncertainty Measures

Yini Wang, Sichun Wang, Hongxiang Tang
2020 International Journal of Computational Intelligence Systems  
This article investigates i-structures in an OIS with granular computing (GrC) view, i.e., i-structures in an OIS are seen as granular structures.  ...  Moreover, group, lattice and map characters of i-structures in an OIS are received, and some invariant characters of i-structures in an OIS under homomorphisms are obtained.  ...  ACKNOWLEDGMENTS The authors would like to thank the editors and the anonymous reviewers for their valuable comments and suggestions, which have helped immensely in improving the quality of the paper.  ... 
doi:10.2991/ijcis.d.201007.001 fatcat:uefnczjhfzhw5kwnv2hmujwmaq

Soft data mining, computational theory of perceptions, and rough-fuzzy approach

S PAL
2004 Information Sciences  
Merits of fuzzy granular computation, in terms of performance and computation time, for the task of case generation in large scale case-based reasoning systems are illustrated through an example. commercial  ...  Role of fuzzy-granulation (f-granulation) in machine and human intelligence, and its modeling through rough-fuzzy integration are discussed.  ...  , in much, perhaps most, of human reasoning and concept formation the granules are fuzzy (f-granular) rather than crisp.  ... 
doi:10.1016/s0020-0255(03)00413-4 fatcat:lkkudhudefa5tda6lkrdd7btlm

Soft data mining, computational theory of perceptions, and rough-fuzzy approach

Sankar K. Pal
2004 Information Sciences  
Merits of fuzzy granular computation, in terms of performance and computation time, for the task of case generation in large scale case-based reasoning systems are illustrated through an example. commercial  ...  Role of fuzzy-granulation (f-granulation) in machine and human intelligence, and its modeling through rough-fuzzy integration are discussed.  ...  , in much, perhaps most, of human reasoning and concept formation the granules are fuzzy (f-granular) rather than crisp.  ... 
doi:10.1016/j.ins.2003.03.014 fatcat:zm53i5nqizabhe77pomzhm2o4u

Toward a generalized theory of uncertainty (GTU) - an outline

L.A. Zadeh
2005 2005 IEEE International Conference on Granular Computing  
The concepts and techniques introduced in this paper are illustrated by a number of examples.  ...  The generalized theory of uncertainty (GTU) which is outlined in this paper breaks with this tradition and views uncertainty in a much broader perspective. Uncertainty is an attribute of information.  ...  PNL, used as a definition language, makes it possible, more realistically, to define independence and other bivalent concepts in probability theory as fuzzy concepts.  ... 
doi:10.1109/grc.2005.1547227 dblp:conf/grc/Zadeh05 fatcat:trml3oyhl5dbjaq4ghosqojxnm

Toward a generalized theory of uncertainty (GTU)––an outline

Lotfi A. Zadeh
2005 Information Sciences  
The concepts and techniques introduced in this paper are illustrated by a number of examples.  ...  The generalized theory of uncertainty (GTU) which is outlined in this paper breaks with this tradition and views uncertainty in a much broader perspective. Uncertainty is an attribute of information.  ...  PNL, used as a definition language, makes it possible, more realistically, to define independence and other bivalent concepts in probability theory as fuzzy concepts.  ... 
doi:10.1016/j.ins.2005.01.017 fatcat:z2uihfnrhzf3hgri7ged5dzaq4

Some Thoughts About Appealing Directions for the Future of Fuzzy Theory and Technologies Along the Path Traced by Lotfi Zadeh [chapter]

Dario Malchiodi
2019 Advances in Biochemical Engineering/Biotechnology  
Keywords: Fuzzy systems future directions · Fuzzy systems and big data · Fuzzy system security.  ...  it is also worth mentioning the contribution of Zadeh in the rise of other specific frameworks dealing with uncertainty, such as those of possibility theory [9] and granular computing [3] [4] [5] .  ...  and on fuzzy random variables have been cited, respectively, two and one order of magnitude fewer times than its paper originating the rich vein of fuzzy sets.  ... 
doi:10.1007/978-3-030-12544-8_20 fatcat:4erhs5mmcbhjjhlljiangdwzem

Analysis of hydrocyclone performance based on information granulation theory [article]

Hamed Owladeghaffari, Majid Ejtemaei, Mehdi Irannajad
2008 arXiv   pre-print
In this manner, using a combining of Self Organizing Map (SOM) and Neuro-Fuzzy Inference System (NFIS), crisp and fuzzy granules are obtained(briefly called SONFIS).  ...  Balancing of crisp granules and sub fuzzy granules, within non fuzzy information (initial granulation), is rendered in an open-close iteration.  ...  For example, Zadeh (2005) has pointed the role of fuzzy set theory in system theory (especially in control) will be increased during future years.  ... 
arXiv:0805.2440v1 fatcat:5vh36amkinbbzkutzgdvidqn5e

A Method for Dealing with Multi-granularity and Multi-scale Linguistic Information based on Modified Proportional 2-tuple

AiPing Zhang, Zhang Lin Peng, Xian Wen Gu
2016 International Journal of Database Theory and Application  
In order to convey the preferences of different experts exactly and to describe the characteristics of different attributes, linguistic term sets with different granularities and different scales have  ...  Multi-granularity linguistic information has been studied by researchers in many disciplines, in which the scale of linguistic term sets is usually restricted in domain [0, 1] .  ...  Wang and Hao proposed proportional 2-tuple fuzzy linguistic representation model based on the concept proportional 2-tuple .  ... 
doi:10.14257/ijdta.2016.9.2.25 fatcat:rudtmgxsfbcolonmf2oelzpebq

Distance: A more comprehensible perspective for measures in rough set theory

Jiye Liang, Ru Li, Yuhua Qian
2012 Knowledge-Based Systems  
degree, accuracy measure, rough measure, approximation quality, fuzziness measure, three decision evaluation criteria, information measure and information granularity.  ...  There are many measures which have been proposed and applied for various targets in rough set theory.  ...  In order to better comprehend the idea from rough set theory, in this subsection, we will apply the set distance for redefining the concept of a rough set.  ... 
doi:10.1016/j.knosys.2011.11.003 fatcat:u6k4rwjtrbfzfjmvzd6hdaoilm

Evaluation of Sustainable Use of Water Resources in Beijing Based on Rough Set and Fuzzy Theory

Baohui Men, Huanlong Liu, Wei Tian, Haoyue Liu
2017 Water  
To determine the weight, the rough set theory was adopted in the index layer, fuzzy theory was employed in the rule layer and set pair analysis method, and attribute recognition theory was used as evaluation  ...  Additionally, the results of the Spearman correlation coefficient method showed that the method of weight determination based on rough set and fuzzy theory is feasible in the evaluation of sustainable  ...  mood operators and the fuzzy scales.  ... 
doi:10.3390/w9110852 fatcat:fzssqjdyv5gbtebmcvv743wavy

Rough Set Theory and its Applications: A recent Survey

2020 International journal for research in engineering application & management  
Rough set theory is a mathematical method proposed by Pawlak . Rough set theory has been developed to manage uncertainties in information that presents missing and noises.  ...  This paper gives detail survey of rough set theory and its properties and various applications of rough set theory.  ...  In order to do it, we need additional notation and basic concepts of rough set theory which are presented below. By R(x) we denote the equivalence class of R determined by element x.  ... 
doi:10.35291/2454-9150.2020.0345 fatcat:4rluvydupjceldovqzilclv4ie

Fuzzy Logic as a Theory of Vagueness: 15 Conceptual Questions [chapter]

Jeremy Bradley
2009 Studies in Fuzziness and Soft Computing  
In spite of its successes as a tool in the field of engineering, fuzzy set theory has yet to achieve the universal footing that probability theory has across the various fields of mathematics, technology  ...  Do they or do they not diminish fuzzy logic's suitability as a theory of vagueness?  ...  Fermüller of the Vienna University of Technology for the initial penning of the questions dealt with in this chapter, and to Rudolf Seising of the Medical University of Vienna for extensive assistance  ... 
doi:10.1007/978-3-540-93802-6_10 fatcat:rqlmfctarzchzlnimqzbjaca7e

A New Service Module Partition Approach for Product Service System Based on Fuzzy Graph and Dempster-Shafer Theory of Evidence

Zhen Yin, Qi Gao, Xue Ji
2018 Mathematical Problems in Engineering  
In this paper, a service partition approach for PSS based on the fuzzy graph and Dempster-Shafer theory of evidence is presented.  ...  By setting different thresholds, the fuzzy graph is cut, and different partition results are obtained.  ...  In order to solve the above problems, this paper proposes a service module partition method for product service system based on fuzzy graph and Dempster-Shafer theory of evidence.  ... 
doi:10.1155/2018/8346859 fatcat:k35yyamalbbcpn7xemfi6dgu6u

Current trends in information retrieval systems: review of fuzzy set theory and fuzzy Boolean retrieval models

Jonathan N. Chimah, Friday Ibiam Ude
2020 Journal of library services and technology  
Fuzzy Set Theory, Fuzzy Retrieval Modelsare reviewed.  ...  concludesby recommending that in an electronic library environment, the librarians and information scientists should acquaint themselves with these terms in order to be more equipped in helping library  ...  Fuzzy retrieval models Fuzzy retrieval models have been defined in order to reduce the imprecision that characterizes the Boolean indexing process, to represent the user's vagueness in queries, and to  ... 
doi:10.47524/jlst.v2i2.5 fatcat:4isll42fj5dpfabnylenovtw3i

Generalizing the Dempster-Schafer theory to fuzzy sets

J. Yen
1990 IEEE Transactions on Systems, Man and Cybernetics  
Our generalization not only extends the application of the D-S theory but also illustrates a way that probability theory and fuzzy set theory can be integrated in a sound manner in order to deal with different  ...  Absfracf -With the desire to manage imprecise and vague information in evidential reasoning, several attempts have been made to generalize the Dempster-Shafer (D-S) theory to deal with fuzzy sets.  ...  probability theory, the Dempster-Shafer (D-S) theory of evidence, and the fuzzy set theory. These frameworks differ in their strengths and weaknesses.  ... 
doi:10.1109/21.57269 fatcat:347ragieo5cqpbtpfdlaruov3a
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