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On generalized Hamacher families of triangular operators
1998
International Journal of Approximate Reasoning
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The connective generator generates a variety of different families in which the original Hamacher family can be observed as a special case. ...
A general functional connective generator is proposed for the Hamacher family in this short study. ...
Here we study the effect of generalized Hamacher triangular operators on fuzzy inference. ...
doi:10.1016/s0888-613x(98)10018-x
fatcat:jwyuzdcyl5htzcc5jiajeaaqze
Score Level Fusion of Multispectral Palmprint with Triangular Conorm
2018
International Journal of Emerging Research in Management and Technology
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In this paper we are fusing the different spectral bandsof palm print (Red, Green and Blue) using T-conorm operators like Hamacher, Frank, Probabilistic and Scheiwer & Sklar. ...
Experimental Results ascertain that the proposed approach for the score level fusion outperforms the state-of-art. ...
Preleminarier of t-norm and t-conorm Triangulat norms (t-norms) and Triangular conorms (t-conorms) are the functions of are the families of binary function. ...
doi:10.23956/ijermt.v6i6.251
fatcat:ismulp2bazc67cxupha3rkwtqe
Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making
2019
Zenodo
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reliability of the 2-tuple linguistic terms (2TLTs). ...
approach to linguistic multiple attribute group decision making (MAGDM) problem with single-valued neutrosophic 2-tuple linguistic (SVN2TL) assessment information by adding a subjective imprecise estimation of ...
, 201610357349, 201610357083), and the Doctoral Scientific Research Foundation of Anhui University. ...
doi:10.5281/zenodo.3133961
fatcat:22kbge3mafc77abkqs6iqs6rlm
Ensemble Learning based on Parametric Triangular Norms
2014
Open Automation and Control Systems Journal
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Triangular norms can improve the generalization capability of machine learning models. ...
The improved performance is produced by employing the Yager operator, Aczel-Alsina operator and Schweizer-Sklar operator, and the Yager operator is most suitable for the combination rule of ensemble learning ...
Triangular norms are important family operations with strong generalization capability in fuzzy logic. ...
doi:10.2174/1874444301406010997
fatcat:6qpcq2egizhk5e32j6aousvmoy
A Novel Multiple Attribute Decision Making Framework based on Hamacher Operations in Patron Driven Acquisitions Mode of Library Management
2016
International Journal of u- and e- Service, Science and Technology
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It is also very important to research generalized hesitant fuzzy aggregation operators based on the Hamacher t-conorm and t-norm and their application to multi attribute decision making. ...
Definition 7 For any given three HFEs, h, h 1 , h 2 , and r> 0, based on Hamacher t-norm and t-conorm, some operations, called Hamacher operations, on HFEs h, h 1 , and h 2 are defined as follows: (1) ...
We can extend these operations to obtain more general operations on HFEs by means of the Hamacher t-norm and t-conorm, which are discussed in this section. ...
doi:10.14257/ijunesst.2016.9.5.36
fatcat:vse6g6grrzbixhvrgyqzk4i2d4
Modeling Consumer Decision Making Process with Triangular Norms
[chapter]
2012
Lecture Notes in Computer Science
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Drawn are conclusions about various processing properties of aggregation operators. Suggested is, in which cases, certain triangular norms describe real-life processes accurately. ...
Shown and described are also examples of operators, which are not suitable at all. ...
An example of a set of operators strengthening the decision is Hamacher product and Einstein sum. ...
doi:10.1007/978-3-642-33260-9_33
fatcat:rkcp7q2p4rcepgbmhjweqy755e
Page 5179 of Mathematical Reviews Vol. , Issue 99h
[page]
1999
Mathematical Reviews
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The study also in- cludes some generalizations of the generic decomposition prob- lem.”
99h:04007 04A72
Roychowdhury, Shounak; Wang, Bo-Hyeun
On generalized Hamacher families of triangular operators. ...
The connective generator generates a variety of different families in which the original Hamacher family can be observed as a special case. ...
On Appropriate Selection of Fuzzy Aggregation Operators in Medical Decision Support System
[article]
2013
arXiv
pre-print
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Instead, each rule should be found based on the feeling of the experts and on their actual decision pattern over the set of typical examples. ...
The best achieved accuracy is chosen as the appropriate aggregation operator. Thus a medical decision can be generated which is very close to a practitioner's guideline. ...
There is a special relationship between parametrized families of operators and the t-norms & t-conorms with respect to special values of their parameters [7] .
IV. ...
arXiv:1304.2538v1
fatcat:muznnn2nfvbflm2mtzw3puxekq
Triangular norms. Position paper II: general constructions and parameterized families
2004
Fuzzy sets and systems (Print)
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This second part (out of three) of a series of position papers on triangular norms (for Part I see [43] ) deals with general construction methods based on additive and multiplicative generators, and on ...
Also included are some constructions leading to non-continuous t-norms, and a presentation of some distinguished families of t-norms. ...
Introduction
Introduction This is the second part (out of three) of a series of position papers on triangular norms. ...
doi:10.1016/s0165-0114(03)00327-0
fatcat:vxbyzs76svdddauo7weuny3arm
Page 8069 of Mathematical Reviews Vol. , Issue 2003k
[page]
2003
Mathematical Reviews
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Summary: “In the paper cited in the heading, the members of the families of Frank, Dubois-Prade, Yager, and Hamacher t- norms, respectively, are compared (in a pointwise way) with the minimum, the product ...
;
Torrens, Joan (E-BALE-CS; Palma)
On the reversibility of uninorms and t-operators. ...
Construction of Fuzzy σ-algebras using triangular norms
1982
Journal of Mathematical Analysis and Applications
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Zulehner for valuable hints and helpful discussions during the preparation of this paper. ...
This was the starting point for an extensive discussion of the suitability of several operators on fuzzy sets. Hamacher [9] gave a system of axioms implying T = Ty and S = Sy, y > 0. ...
In Section IV we first generalize the definition of fuzzy a-algebras given in [ 151 by replacing the operations min and max by arbitrary triangular norms and their duals. ...
doi:10.1016/0022-247x(82)90015-4
fatcat:4yqv5bkiunb3tmtz76gj5vhqcu
Families of Triangular Norm-Based Kernel Functions and Their Application to Kernel k-Means
2017
Journal of Advanced Computational Intelligence and Intelligent Informatics
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This study proposes the concept of families of triangular norm (t-norm)-based kernel functions, and discusses their positive-definite property and the conditions for applicable t-norms. ...
A clustering experiment with kernel k-means is performed in order to analyze the characteristics of the proposed concept, as well as the effects of the t-norm and parameter selections. ...
In addition, the minimum and product operations are triangular norms (t-norms) [4] [5] , which generalize intersection operations on fuzzy logic; therefore, I consider various types of additive kernels ...
doi:10.20965/jaciii.2017.p0534
fatcat:vwogardrnfh7ffkev66ahgx3dy
A k-order fuzzy OR operator for pattern classification with k-order ambiguity rejection
2008
Fuzzy sets and systems (Print)
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Mathematical properties of this family of combination operators are established and a weighted extension is proposed, allowing to give more or less importance to a given class. ...
This article mainly deals with the mathematical foundations of labels combination operators, built on t-norms, that extend previous ambiguity measures of objects by dealing not only with 2 classes ambiguities ...
For this purpose, we propose a new operator based on triangular norms. This family of operators essentially soften the concept of k-th highest component of a vector. ...
doi:10.1016/j.fss.2008.02.019
fatcat:wo3yd6o7e5bunha3qb4j63p4cy
Applying the Generalized Dombi Operator Family to the Speech Recognition Task
2009
Journal of Computing and Information Technology
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In this paper we do this by using the Generalized Dombi Operator, which, by its two adjustable parameters and incorporating other well-known fuzzy operators, seems quite suitable. ...
In the automatic speech recognition (ASR) problem, the task of constructing one word-or sentence-level probability from the available phoneme-level probabilities is a very important one. ...
and the Hamacher operator families) which proved useful in our earlier tests [8] . ...
doi:10.2498/cit.1001284
fatcat:t26rolf7grh4rgjz3gpskltuyu
A Cluster-Validity Index Combining an Overlap Measure and a Separation Measure Based on Fuzzy-Aggregation Operators
2011
IEEE transactions on fuzzy systems
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Index Terms-Cluster validity, fuzzy cluster analysis, aggregation operators, triangular norms. ...
Given a fuzzy partition, this new index uses a measure of multiple clusters overlap and a separation measure for each data point, both based on an aggregation operation of membership degrees. ...
Besides the classical triangular norm couples, many parametric families have been introduced, e.g. the Hamacher or Dombi families (see Table II ). ...
doi:10.1109/tfuzz.2011.2106216
fatcat:yo6qztvaxvhqrgfhe7voi5koua
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