The functional equations of Frank and Alsina for uninorms and nullnorms

From MaRDI portal
Publication:5939640

DOI10.1016/S0165-0114(99)00125-6zbMath0977.03026OpenAlexW2043951079WikidataQ127976340 ScholiaQ127976340MaRDI QIDQ5939640

János C. Fodor, Bernard De Baets, Tomasa Calvo

Publication date: 9 January 2002

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(99)00125-6




Related Items (only showing first 100 items - show all)

A note on pseudometrics aggregationMigrative Property for NullnormsAbsorbent tuples of aggregation operatorsThe left (right) distributivity of semi-t-operators over 2-uninormsSemi-t-operators and idempotent semi-t-operators on bounded latticesSemi-t-operators on a finite totally ordered setThe cross-migrativity equation with respect to semi-t-operatorsFITTING GENERATED AGGREGATION OPERATORS TO EMPIRICAL DATAAn overview of fuzzy logic connectives on the unit intervalSome implications of the restricted distributivity of aggregation operators with absorbing elements for utility theoryDistributivity equations in the class of semi-t-operatorsDistributivity equation in the class of 2-uninormsThe migrativity equation for uninorms revisitedEquivalence classes of uninormsRepresentation of nullnorms on bounded latticesThe modularity equation for semi-t-operators and T-uninormsMigrative uninorms and nullnorms over t-norms and t-conorms revisitedCharacterization of idempotent \(n\)-uninormsOn some classes of nullnorms and \(h\)-pseudo homogeneityCharacterizing idempotent nullnorms on a special class of bounded latticesOn the distributivity equations between null-uninorms and overlap (grouping) functionsAlternative approaches for generating semi-t-operators on bounded latticesNew constructions of nullnorms on bounded latticesNullnorms on bounded lattices constructed by means of closure and interior operatorsA complete representation theorem for nullnorms on bounded lattices with ample illustrationsOn the cross-migrativity between uninorms and overlap (grouping) functionsOrder based on associative operationsAn insight into the conditional distributivity of nullnorms over uninormsDistributivity and conditional distributivity of semi-t-operators over \(S\)-uninormsMethods for obtaining uni-nullnorms and null-uninorms on bounded latticesLifting associative operations on subposets of a complete latticeAn advanced interpretable fuzzy neural network model based on uni-nullneuron constructed from n-uninormsConstruction methods for the smallest and largest uni-nullnorms on bounded latticesA representation of nullnorms on a bounded lattice in terms of beam operationsEFNN-NullUni: an evolving fuzzy neural network based on null-uninormA note on simplification of \(z\)-ordinal sum constructionOrdinal sums: from triangular norms to bi- and multivariate copulasA unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operationsA characterization of idempotent nullnorms on bounded latticesInterval-valued picture fuzzy aggregation information based on Frank operators and their application in group decision makingUnnamed ItemBlock similarity in fuzzy tuplesRestricted distributivity for aggregation operators with absorbing elementRelation between neutral element and annihilator in absorption equationA survey on the existing classes of uninormsUninorms and Non-contradictionDISTRIBUTIVE IDEMPOTENT UNINORMSConstruction methods for uni-nullnorms and null-uninorms on bounded latticeAN OVERVIEW ON THE CONSTRUCTION OF FUZZY SET THEORIESIdempotent uninorms and nullnorms on bounded posetsBuilding a class of fuzzy equivalence relationsUnnamed ItemUnnamed ItemUnnamed ItemUnnamed ItemBalanced fuzzy setsAn extension of the ordering based on nullnormsAggregation operators with annihilatorON THE FUZZY SET THEORY AND AGGREGATION FUNCTIONS: HISTORY AND SOME RECENT ADVANCESDistributivity Equations Between Semi-t-operators Over Semi-uninormsOn the distributivity equation for uni-nullnormsUnnamed ItemUnnamed ItemThe distributive equations for idempotent uninorms and nullnormsUnnamed ItemUnnamed ItemGenerating nullnorms on some special classes of bounded lattices via closure and interior operatorsOn the characterization of distributivity equations about quasi-arithmetic meansC-sets of \(n\)-uninormsConstruction of aggregation functions from data using linear programmingDistributivity between uninorms and nullnormsA characterization of idempotent nullnormsStructure of \(n\)-uninorms\(L\)-fuzzy sets and isomorphic lattices: are all the ``new results really new?Generalized mediansRepresentation and construction of self-dual aggregation operatorsDistributivity characterization of idempotent uni-nullnorms and overlap or grouping functionsMedians and nullnorms on bounded latticesOn distributivity equations for uninorms over semi-t-operatorsDistributivity between semi-uninorms and semi-t-operatorsAggregation functions: construction methods, conjunctive, disjunctive and mixed classesWeighted triangular norms-based aggregation operatorsAggregation of subjective evaluations based on discrete fuzzy numbersAggregation functions and contradictory informationDistributivity inequalities of monotonic operationsBinary survival aggregation functionsLeft and right distributivity equations for semi-t-operators and uninormsAn order induced by nullnorms and its propertiesThe distributivity equation for uninorms revisitedCharacterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conormsThe modularity condition for semi-t-operators and semi-uninormsConstruction of nullnorms on bounded lattices and an equivalence relation on nullnormsOn the conditional distributivity of continuous semi-t-operators over uninormsThe modularity law in some classes of aggregation operatorsA new look at the distributivity for uninorms over nullnormsOn the structure of 2-uninormsSome properties of weak uninormsDistributivity between extended nullnorms and uninorms on fuzzy truth valuesConstructions of overlap functions on bounded latticesAggregation operators: Ordering and bounds



Cites Work


This page was built for publication: The functional equations of Frank and Alsina for uninorms and nullnorms