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On generalized Hamacher families of triangular operators

Shounak Roychowdhury, Bo-Hyeun Wang
1998 International Journal of Approximate Reasoning  
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

Maria Afzal, Mohd Abdul Ahad, Jyotsana Grover
2018 International Journal of Emerging Research in Management and Technology  
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

Qun Wu, Peng Wu, Ligang Zhou, Huayou Chen, Xianjun Guan
2019 Zenodo  
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

Pengtao Jia
2014 Open Automation and Control Systems Journal  
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

Jiao Li, Dong Hu, Chao Tang, Jufang Xie
2016 International Journal of u- and e- Service, Science and Technology  
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]

Agnieszka Jastrzebska, Wladyslaw Homenda
2012 Lecture Notes in Computer Science  
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  
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]

K.M. Motahar Hossain, Zahir Raihan, M.M.A. Hashem
2013 arXiv   pre-print
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

Erich Peter Klement, Radko Mesiar, Endre Pap
2004 Fuzzy sets and systems (Print)  
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  
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

E.P Klement
1982 Journal of Mathematical Analysis and Applications  
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

Kazushi Okamoto
2017 Journal of Advanced Computational Intelligence and Intelligent Informatics  
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

Laurent Mascarilla, Michel Berthier, Carl Frélicot
2008 Fuzzy sets and systems (Print)  
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

Gabor Gosztolya, Jozsef Dombi, Andras Kocsor
2009 Journal of Computing and Information Technology  
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

Hoel Le Capitaine, Carl Frelicot
2011 IEEE transactions on fuzzy systems  
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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