References of "Marichal, Jean-Luc 50002296"      in Complete repository Arts & humanities   Archaeology   Art & art history   Classical & oriental studies   History   Languages & linguistics   Literature   Performing arts   Philosophy & ethics   Religion & theology   Multidisciplinary, general & others Business & economic sciences   Accounting & auditing   Production, distribution & supply chain management   Finance   General management & organizational theory   Human resources management   Management information systems   Marketing   Strategy & innovation   Quantitative methods in economics & management   General economics & history of economic thought   International economics   Macroeconomics & monetary economics   Microeconomics   Economic systems & public economics   Social economics   Special economic topics (health, labor, transportation…)   Multidisciplinary, general & others Engineering, computing & technology   Aerospace & aeronautics engineering   Architecture   Chemical engineering   Civil engineering   Computer science   Electrical & electronics engineering   Energy   Geological, petroleum & mining engineering   Materials science & engineering   Mechanical engineering   Multidisciplinary, general & others Human health sciences   Alternative medicine   Anesthesia & intensive care   Cardiovascular & respiratory systems   Dentistry & oral medicine   Dermatology   Endocrinology, metabolism & nutrition   Forensic medicine   Gastroenterology & hepatology   General & internal medicine   Geriatrics   Hematology   Immunology & infectious disease   Laboratory medicine & medical technology   Neurology   Oncology   Ophthalmology   Orthopedics, rehabilitation & sports medicine   Otolaryngology   Pediatrics   Pharmacy, pharmacology & toxicology   Psychiatry   Public health, health care sciences & services   Radiology, nuclear medicine & imaging   Reproductive medicine (gynecology, andrology, obstetrics)   Rheumatology   Surgery   Urology & nephrology   Multidisciplinary, general & others Law, criminology & political science   Civil law   Criminal law & procedure   Criminology   Economic & commercial law   European & international law   Judicial law   Metalaw, Roman law, history of law & comparative law   Political science, public administration & international relations   Public law   Social law   Tax law   Multidisciplinary, general & others Life sciences   Agriculture & agronomy   Anatomy (cytology, histology, embryology...) & physiology   Animal production & animal husbandry   Aquatic sciences & oceanology   Biochemistry, biophysics & molecular biology   Biotechnology   Entomology & pest control   Environmental sciences & ecology   Food science   Genetics & genetic processes   Microbiology   Phytobiology (plant sciences, forestry, mycology...)   Veterinary medicine & animal health   Zoology   Multidisciplinary, general & others Physical, chemical, mathematical & earth Sciences   Chemistry   Earth sciences & physical geography   Mathematics   Physics   Space science, astronomy & astrophysics   Multidisciplinary, general & others Social & behavioral sciences, psychology   Animal psychology, ethology & psychobiology   Anthropology   Communication & mass media   Education & instruction   Human geography & demography   Library & information sciences   Neurosciences & behavior   Regional & inter-regional studies   Social work & social policy   Sociology & social sciences   Social, industrial & organizational psychology   Theoretical & cognitive psychology   Treatment & clinical psychology   Multidisciplinary, general & others     Showing results 1 to 20 of 265 1 2 3 4 5 6     On indefinite sums weighted by periodic sequencesMarichal, Jean-Luc in Results in Mathematics (2019), 74(3), 95For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0 ... [more ▼]For any integer$q\geq 2$we provide a formula to express indefinite sums of a sequence$(f(n))_{n\geq 0}$weighted by$q$-periodic sequences in terms of indefinite sums of sequences$(f(qn+p))_{n\geq 0}$, where$p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions for the former sums. We also illustrate this formula through some examples. [less ▲]Detailed reference viewed: 66 (11 UL) Quasitrivial semigroups: characterizations and enumerationsCouceiro, Miguel; Devillet, Jimmy ; Marichal, Jean-Luc in Semigroup Forum (2019), 98(3), 472498We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order ... [more ▼]We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine explicitly the sizes of these classes when the semigroups are defined on finite sets. As a byproduct of these enumerations, we obtain several new integer sequences. [less ▲]Detailed reference viewed: 242 (87 UL) Single-peakedness in aggregation function theoryDevillet, Jimmy ; Couceiro, Miguel; Marichal, Jean-Luc Presentation (2019, May 14)Due to their great importance in data fusion, aggregation functions have been extensively investigated for a few decades. Among these functions, fuzzy connectives (such as uninorms) play an important role ... [more ▼]Due to their great importance in data fusion, aggregation functions have been extensively investigated for a few decades. Among these functions, fuzzy connectives (such as uninorms) play an important role in fuzzy logic. We establish a remarkable connection between a family of associative aggregation functions, which includes the class of idempotent uninorms, and the concepts of single-peakedness and single-plateaudness, introduced in social choice theory by D. Black. Finally, we enumerate those orders when the underlying set is finite. [less ▲]Detailed reference viewed: 58 (8 UL) Characterizations and classifications of quasitrivial semigroupsDevillet, Jimmy ; Marichal, Jean-Luc ; Teheux, Bruno Scientific Conference (2019, March 03)Detailed reference viewed: 63 (11 UL) Characterizations of idempotent n-ary uninormsDevillet, Jimmy ; Kiss, Gergely; Marichal, Jean-Luc in 38th Linz Seminar on Fuzzy Set Theory (2019, February 05)In this paper we provide a characterization of the class of idempotent n-ary uninorms on a given chain. When the chain is finite, we also provide anaxiomatic characterization of the latter class by means ... [more ▼]In this paper we provide a characterization of the class of idempotent n-ary uninorms on a given chain. When the chain is finite, we also provide anaxiomatic characterization of the latter class by means of four conditions only: associativity, quasitriviality, symmetry, and nondecreasing monotonicity. In particular, we show that associativity can be replaced with bisymmetry in this axiomatization. [less ▲]Detailed reference viewed: 64 (16 UL) Characterizations of quasitrivial symmetric nondecreasing associative operationsDevillet, Jimmy ; Kiss, Gergely ; Marichal, Jean-Luc in Semigroup Forum (2019), 98(1), 154-171We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity can be replaced with ... [more ▼]We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity can be replaced with bisymmetry in the definition of this class. Finally we investigate the special situation where the chain is finite. [less ▲]Detailed reference viewed: 111 (46 UL) On the best constants associated with n-distancesKiss, Gergely; Marichal, Jean-Luc E-print/Working paper (2019)We pursue the investigation of the concept of n-distance, an n-variable version of the classical concept of distance recently introduced and investigated by Kiss, Marichal, and Teheux. We especially focus ... [more ▼]We pursue the investigation of the concept of n-distance, an n-variable version of the classical concept of distance recently introduced and investigated by Kiss, Marichal, and Teheux. We especially focus on the challenging problem of computing the best constant associated with a given n-distance. In particular, we define and investigate the best constants related to partial simplex inequalities. We also introduce and discuss some subclasses of n-distances defined by considering some properties. Finally, we discuss an interesting link between the concepts of n-distance and multidistance. [less ▲]Detailed reference viewed: 30 (13 UL) Classifications of quasitrivial semigroupsDevillet, Jimmy ; Marichal, Jean-Luc ; Teheux, Bruno E-print/Working paper (2018)We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In ... [more ▼]We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups, we address and solve several related enumeration problems. [less ▲]Detailed reference viewed: 79 (24 UL) An n-ary generalization of the concept of distanceKiss, Gergely; Marichal, Jean-Luc ; Teheux, Bruno Scientific Conference (2018, July 03)Detailed reference viewed: 48 (5 UL) Associative and quasitrivial operations on finite sets: characterizations and enumerationCouceiro, Miguel; Devillet, Jimmy ; Marichal, Jean-Luc Scientific Conference (2018, July 02)We investigate the class of binary associative and quasitrivial operations on a given finite set. Here the quasitriviality property (also known as conservativeness) means that the operation always outputs ... [more ▼]We investigate the class of binary associative and quasitrivial operations on a given finite set. Here the quasitriviality property (also known as conservativeness) means that the operation always outputs one of its input values. We also examine the special situations where the operations are commutative and nondecreasing, in which cases the operations reduce to discrete uninorms (which are discrete fuzzy connectives playing an important role in fuzzy logic). Interestingly, associative and quasitrivial operations that are nondecreasing are characterized in terms of total and weak orderings through the so-called single-peakedness property introduced in social choice theory by Duncan Black. We also address and solve a number of enumeration issues: we count the number of binary associative and quasitrivial operations on a given finite set as well as the number of those operations that are commutative and/or nondecreasing. [less ▲]Detailed reference viewed: 57 (4 UL) A generalization of the concept of distance based on the simplex inequalityKiss, Gergely ; Marichal, Jean-Luc ; Teheux, Bruno in Beitraege zur Algebra und Geometrie = Contributions to Algebra and Geometry (2018), 59(2), 247266We introduce and discuss the concept of \emph{$n$-distance}, a generalization to$n$elements of the classical notion of distance obtained by replacing the triangle inequality with the so-called simplex ... [more ▼]We introduce and discuss the concept of \emph{$n$-distance}, a generalization to$n$elements of the classical notion of distance obtained by replacing the triangle inequality with the so-called simplex inequality $d(x_1, \ldots, x_n)~\leq~K\, \sum_{i=1}^n d(x_1, \ldots, x_n)_i^z{\,}, \qquad x_1, \ldots, x_n, z \in X,$ where$K=1$. Here$d(x_1,\ldots,x_n)_i^z$is obtained from the function$d(x_1,\ldots,x_n)$by setting its$i$th variable to$z$. We provide several examples of$n$-distances, and for each of them we investigate the infimum of the set of real numbers$K\in\left]0,1\right]$for which the inequality above holds. We also introduce a generalization of the concept of$n\$-distance obtained by replacing in the simplex inequality the sum function with an arbitrary symmetric function. [less ▲]Detailed reference viewed: 133 (28 UL) Characterizations of idempotent discrete uninormsCouceiro, Miguel; Devillet, Jimmy ; Marichal, Jean-Luc in Fuzzy Sets & Systems (2018), 334In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an ... [more ▼]In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization involving the bisymmetry property. Finally, we provide a graphical characterization of these operations in terms of their contour plots, and we mention a few open questions for further research. [less ▲]Detailed reference viewed: 196 (47 UL) Joint signature of two or more systems with applications to multistate systems made up of two-state componentsMarichal, Jean-Luc ; Mathonet, Pierre; Navarro, Jorge et alin European Journal of Operational Research (2017), 263(2), 559-570The structure signature of a system made up of n components having continuous and i.i.d. lifetimes was defined in the eighties by Samaniego as the n-tuple whose k-th coordinate is the probability that the ... [more ▼]The structure signature of a system made up of n components having continuous and i.i.d. lifetimes was defined in the eighties by Samaniego as the n-tuple whose k-th coordinate is the probability that the k-th component failure causes the system to fail. More recently, a bivariate version of this concept was considered as follows. The joint structure signature of a pair of systems built on a common set of components having continuous and i.i.d. lifetimes is a square matrix of order n whose (k,l)-entry is the probability that the k-th failure causes the first system to fail and the l-th failure causes the second system to fail. This concept was successfully used to derive a signature-based decomposition of the joint reliability of the two systems. In the first part of this paper we provide an explicit formula to compute the joint structure signature of two or more systems and extend this formula to the general non-i.i.d. case, assuming only that the distribution of the component lifetimes has no ties. We also provide and discuss a necessary and sufficient condition on this distribution for the joint reliability of the systems to have a signature-based decomposition. In the second part of this paper we show how our results can be efficiently applied to the investigation of the reliability and signature of multistate systems made up of two-state components. The key observation is that the structure function of such a multistate system can always be additively decomposed into a sum of classical structure functions. Considering a multistate system then reduces to considering simultaneously several two-state systems. [less ▲]Detailed reference viewed: 108 (12 UL) Associative and quasitrivial operations on finite sets (invited lecture)Marichal, Jean-Luc ; Couceiro, Miguel; Devillet, Jimmy Scientific Conference (2017, November 10)Detailed reference viewed: 60 (13 UL) On quasitrivial and associative operationsDevillet, Jimmy ; Couceiro, Miguel; Marichal, Jean-Luc Presentation (2017, October 25)Detailed reference viewed: 49 (12 UL) Enumerating quasitrivial semigroupsDevillet, Jimmy ; Couceiro, Miguel; Marichal, Jean-Luc Presentation (2017, October 03)We investigate the class of binary associative and quasitrivial operations on a given finite set. Here quasitriviality (also known as conserva-tiveness) means that the operation always outputs one of its ... [more ▼]We investigate the class of binary associative and quasitrivial operations on a given finite set. Here quasitriviality (also known as conserva-tiveness) means that the operation always outputs one of its input values. We also examine the special situations where the operations are commutative and nondecreasing. In the latter case, these operations reduce to discrete uninorms, which are discrete fuzzy connectives that play an important role in fuzzy logic. As we will see nondecreasing, associative and quasitrivial operations are chara-cterized in terms of total and weak orderings through the so-called single-peakedness property introduced in social choice theory by Duncan Black. This will enable visual interpretaions of the above mentioned algebraic properties. Motivated by these results, we will also address a number of counting issues: we enumerate all binary associative and quasitrivial operations on a given finite set as well as of those operations that are commutative, are nondecreasing, have neutral and/or annihilator elements. As we will see, these considerations lead to several, previously unknown, integer sequences. [less ▲]Detailed reference viewed: 58 (16 UL) Sur les uninormes discrètes idempotentesCouceiro, Miguel; Devillet, Jimmy ; Marichal, Jean-Luc in Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc (Eds.) LFA 2017 - Rencontres francophones sur la logique floue et ses applications (2017, October)In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values ... [more ▼]In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing. Then we show that, in this characterization, symmetry can be replaced with both bisymmetry and existence of a neutral element. [less ▲]Detailed reference viewed: 51 (7 UL) Integer sequence #A292933Marichal, Jean-Luc Diverse speeches and writings (2017)Number of associative and quasitrivial binary operations on {1,...,n} that have neutral elements. Also: Number of associative and quasitrivial binary operations on {1,...,n} that have annihilator elements.Detailed reference viewed: 40 (6 UL) Integer sequence #A292932Marichal, Jean-Luc Diverse speeches and writings (2017)Number of associative and quasitrivial binary operations on {1,...,n}. Convention a(0)=1.Detailed reference viewed: 45 (12 UL) Integer sequence #A292934Marichal, Jean-Luc Diverse speeches and writings (2017)Number of associative and quasitrivial binary operations on {1,...,n} that have both neutral and annihilator elements.Detailed reference viewed: 38 (5 UL)