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(T) fuzzy integral of multi-dimensional function

Wanli Liu, Xiaoqiu Song, Qiuzhao Zhang
2010 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery  
Then, some classical results of the integral are obtained based on the properties of T-norm and T-conorm mainly.  ...  Introducing more types of integrals will provide more choices to deal with various types of objectives and components in real problems.  ...  non-negative measurable function with respect to scalar-valued measure based on the concepts of T-norm and T-conorm [14] .  ... 
doi:10.1109/fskd.2010.5569774 dblp:conf/fskd/LiuSZ10 fatcat:qsfjw4g5rvfhnkebtv2aebiqgq

Classifier Fusion Using Triangular Norms [chapter]

Piero Bonissone, Kai Goebel, Weizhong Yan
2004 Lecture Notes in Computer Science  
Specifically, it does not require the assumption of evidential independence of the classifiers to be fused (such as Dempster Shafer's fusion rule).  ...  The proposed method is associative, which allows fusing three or more classifiers irrespective of the order.  ...  Our next step will be to use backward search, guided by a diversity measure [12, 14] , to select the smallest subset of classifiers to be deployed in the production version of this QA process.  ... 
doi:10.1007/978-3-540-25966-4_15 fatcat:3pbs34w5uzcvllxczxdhngk2ja

Solving satisfiability in fuzzy logics by mixing CMA-ES

Tim Brys, Madalina M. Drugan, Peter A.N. Bosman, Martine De Cock, Ann Nowé
2013 Proceeding of the fifteenth annual conference on Genetic and evolutionary computation conference - GECCO '13  
In this paper, we propose new benchmark problems and analyse the function landscape of different problem classes, focussing our analysis on plateaus.  ...  We empirically show the relation between certain function landscape properties and M-CMA-ES performance.  ...  (0 for negative input, otherwise 1) and n the number of variables.  ... 
doi:10.1145/2463372.2463510 dblp:conf/gecco/BrysDBCN13 fatcat:iojfg4jfibed3csoiqelrbjuay

Generalized real analysis and its applications

Endre Pap
2008 International Journal of Approximate Reasoning  
There are presented some important real aggregation functions as triangular norms and triangular conorms and a real semiring with pseudo-operations.  ...  In this paper there are stressed some of the advantages of a generalized real analysis (called pseudo-analysis) based on some real operations which are taken instead of the usual addition and product of  ...  K þ 1 ðX Þ and K À 1 ðX Þ denote the class of non-negative and non-positive functions with finite support, respectively.  ... 
doi:10.1016/j.ijar.2007.05.015 fatcat:kutp2emp3zer7aerj6rthxd77e

Compactification of SL(2) [article]

Pierre Albin, Panagiotis Dimakis, Richard Melrose
2018 arXiv   pre-print
These are compact manifolds with boundary on which both the Schwartz and the Harish-Chandra Schwartz spaces are shown to be relatively standard spaces of conormal functions relative to the boundary.  ...  Closure under convolution and other module properties are shown to follow from the structure of appropriate generalized product spaces and the functorial properties of conormal functions and smooth maps  ...  Let B [1] be the closure of B in the 2 × 2 matrices -the space of non-negative Hermitian or real symmetric matrices of trace 1.  ... 
arXiv:1812.03883v1 fatcat:f5lkl77owzgm5pcw66omn7uw2e

Local search and restart strategies for satisfiability solving in fuzzy logics

Tim Brys, Madalina M. Drugan, Peter A.N. Bosman, Martine De Cock, Ann Nowe
2013 2013 IEEE International Workshop on Genetic and Evolutionary Fuzzy Systems (GEFS)  
solver on a set of benchmark problems.  ...  Especially on more finegrained problems did CMA-ES compare favourably to the analytical approach.  ...  FUZZY LOGIC AND SAT ∞ In fuzzy logics [14] , truth is expressed as a real number taken from the unit interval [0, 1]. Essentially, there are an infinite number of truth degrees possible.  ... 
doi:10.1109/gefs.2013.6601055 dblp:conf/gefs/BrysDBCN13 fatcat:6utt7guvd5cs7lkt4fwbjc2nuy

Fuzzy Logic Based Logical Query Answering on Knowledge Graphs [article]

Xuelu Chen, Ziniu Hu, Yizhou Sun
2022 arXiv   pre-print
Extensive experiments on two benchmark datasets demonstrate that FuzzQE provides significantly better performance in answering FOL queries compared to state-of-the-art methods.  ...  Recent advances embed logical queries and KG entities in the same space and conduct query answering via dense similarity search.  ...  For columns that list multiple query structures, the number in the table represents the number of each query structure.  ... 
arXiv:2108.02390v2 fatcat:fqktt4pr4fbpzo6lktfcvnztb4

Fuzzy Set-Theoretic Operators and Quantifiers [chapter]

János Fodor, Ronald R. Yager
2000 Fundamentals of Fuzzy Sets  
Since these extensions are mainly pointwisely defined, we review basic results on the underlying unary or binary operations on the unit interval such as negations, t-norms, t-conorms, implications, coimplications  ...  Note that we use the symbol := indicating that the item on its lefthand side is equal, by definition, to the already known item on its right-hand side.  ...  Acknowledgments The work of J. Fodor has been partially supported by the National Scientific Research Fund (OTKA) under grant T025163.  ... 
doi:10.1007/978-1-4615-4429-6_3 fatcat:obcyvr6pzfbttdlpmtlfjenyaa

Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization [article]

Xiaodong Pan, Yang Xu
2017 arXiv   pre-print
Based on the in-depth analysis of the essence and features of vague phenomena, this paper focuses on establishing the axiomatical foundation of membership degree theory for vague phenomena, presents an  ...  On this basis, the concept of vague partition is introduced, further, the concept of fuzzy set introduced by Zadeh in 1965 is redefined based on vague partition from the perspective of axiomatization.  ...  U , where ⊕ is a triangular conorm.  ... 
arXiv:1701.08665v1 fatcat:vj6bfohlsfca7n75su2lcsildu

ON A CERTAIN CLASS OF SUBMEASURES BASED ON TRIANGULAR NORMS

ONDREJ HUTNÍK, RADKO MESIAR
2009 International Journal of Uncertainty Fuzziness and Knowledge-Based Systems  
In this paper we study a generalization of a submeasure notion which is related to a probabilistic concept, especially to Menger spaces where triangular norms play a crucial role.  ...  The resulting notion of a τ T -submeasure is suitable for modeling those situations in which we have only probabilistic information about the measure of the set.  ...  Note that τ T -submeasures can be seen as fuzzy number-valued submeasures, where the value γ A can be seen as a non-negative LT -fuzzy number 9 , and where τ T (γ A , γ B ) corresponds to the T -sum of  ... 
doi:10.1142/s0218488509005887 fatcat:k52eyzyyjbdnjhpvvygm7doh6u

Correction to: Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization

Xiaodong Pan, Yang Xu
2018 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
Based on the in-depth analysis of the essence and features of vague phenomena, this paper focuses on establishing the axiomatical foundation of membership degree theory for vague phenomena, presents an  ...  On this basis, the concept of vague partition is introduced, further, the concept of fuzzy set introduced by Zadeh in 1965 is redefined based on vague partition from the perspective of axiomatization.  ...  U , where ⊕ is a triangular conorm.  ... 
doi:10.1007/s00500-018-3061-9 fatcat:2ykf5r5ronbadgpaka2dsc724m

GenDR: A Generalized Differentiable Renderer [article]

Felix Petersen, Bastian Goldluecke, Christian Borgelt, Oliver Deussen
2022 arXiv   pre-print
We evaluate an array of differentiable renderer instantiations on the popular ShapeNet 3D reconstruction benchmark and analyze the implications of our results.  ...  Surprisingly, the simple uniform distribution yields the best overall results when averaged over 13 classes; in general, however, the optimal choice of distribution heavily depends on the task.  ...  T-norms and T-conorms (triangular norms and conorms) are binary functions that generalize the logical conjunction ('and') and disjunction ('or'), respectively, to real-valued logics or probability spaces  ... 
arXiv:2204.13845v1 fatcat:66ggp2ozrzbkjeg5f6i6jf3cny

Sufficient triangular norms in many-valued logics with standard negation

Dan Butnariu, Erich Peter Klement, Radko Mesiar, Mirko Navara
2004 Archive for Mathematical Logic  
We list several families of strict t-norms having this property and provide also counterexamples (the Hamacher product is one of them).  ...  Finally, we discuss the consequences of these results for the characterization of tribes based on strict t-norms.  ...  VEGA 1/0273/03, and the fourth author also by grant 201/02/1540 of the Grant Agency of the Czech Republic.  ... 
doi:10.1007/s00153-004-0267-6 fatcat:3wkzxfin4fgjfbthwx2pnmrfhy

Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making

Qun Wu, Peng Wu, Ligang Zhou, Huayou Chen, Xianjun Guan
2019 Zenodo  
reliability of the 2-tuple linguistic terms (2TLTs).  ...  SVN2TL includes the truth-membership (TM), indeterminacy-membership (IM) and faulty-membership (FM), which can express the incomplete, indeterminate and inconsistent information perfectly and avoid information  ...  , 201610357349, 201610357083), and the Doctoral Scientific Research Foundation of Anhui University.  ... 
doi:10.5281/zenodo.3133961 fatcat:22kbge3mafc77abkqs6iqs6rlm

Risk-based access control systems built on fuzzy inferences

Qun Ni, Elisa Bertino, Jorge Lobo
2010 Proceedings of the 5th ACM Symposium on Information, Computer and Communications Security - ASIACCS '10  
First, because there are many different fuzzy operations, one must choose the fuzzy operations that best address security requirements.  ...  Third, the scalability of a fuzzy inference-based access control system is questionable.  ...  Acknowledgments The work reported in this paper has been partially supported by the MURI award FA9550-08-1-0265 from the Air Force Office of Scientific Research.  ... 
doi:10.1145/1755688.1755719 dblp:conf/ccs/NiBL10 fatcat:mdaghwcn35hbrjyjvmcldboloe
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