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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
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
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
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
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
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
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. ...
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  . IV. ...arXiv:1304.2538v1 fatcat:muznnn2nfvbflm2mtzw3puxekq
This second part (out of three) of a series of position papers on triangular norms (for Part I see  ) 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
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. ...
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  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
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)   , which generalize intersection operations on fuzzy logic; therefore, I consider various types of additive kernels ...doi:10.20965/jaciii.2017.p0534 fatcat:vwogardrnfh7ffkev66ahgx3dy
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
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  . ...doi:10.2498/cit.1001284 fatcat:t26rolf7grh4rgjz3gpskltuyu
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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