Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each ... more Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each member of a committee of experts has his own knowledge-base and a current information in order to make decisions. We assume the committee adopt the AHP as the tool that each expert uses to construct the personal ranking of alternatives. As described and formalized in (Carlsson et
Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each ... more Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each member of a committee of experts has his own knowledge-base and a current information in order to make decisions. We assume the committee adopt the AHP as the tool that each expert uses to construct the personal ranking of alternatives. As described and formalized in (Carlsson et al., 1992; Eklund et al., 2007; Maturo, and Ventre, 2008) each decision maker is represented by a point of the Euclidean space R m , where the coordinates are the scores of the alternatives. Enhancing consensus in the group reduces to implementing a procedure that makes these points closer, so that they can be included in a suitably small neighborhood. In order to obtain consensus the more peripheral decision makers are invited by an impartial chairman, called the Demiurge, to modify their assessments. What seems to us worth to be considered is a further convergence procedure related to the weights of the criter...
The problem of multiperson and multiobjective decision making is considered. Models based on fuzz... more The problem of multiperson and multiobjective decision making is considered. Models based on fuzzy measures are introduced. Moreover the problem of checking coherence of an assessment of scores to pairs (alternative, objective) is faced. The procedures of aggregating scores w.r.t. the objectives and w.r.t. the decision makers are studied. Geometrical interpretations of the concepts introduced and the results obtained are shown, based on hyperstructures and, in particular, join spaces.
Abstract. Coherence is a central issue in probability (de Finetti, 1970). The stud-ies on non-add... more Abstract. Coherence is a central issue in probability (de Finetti, 1970). The stud-ies on non-additive models in decision making, eg, non-expected utility models (Fishburn, 1988), lead to an extension of the coherence principle in nonadditive settings, such as fuzzy or ambiguous contexts. ...
Some financial investments offer different profitabilities according to the invested amounts. The... more Some financial investments offer different profitabilities according to the invested amounts. They are operations which differentiate rates of interest depending on the placed capital, i.e., operations whose underlying capitalization functions are not linear with respect to the invested sums. Usually, this differentiation is performed by assigning a variable rate that is an increasing function of the amounts at given jump points, and constant in each interval. As a result, the capitalization function is discontinuous with a finite number of jumps, once the investment term has been fixed. In this situation, an investor can take advantage of differentials in interest rates between two intervals and so it could be convenient, for a group of investors, to join their quantities of money because greater rates of interest can be achieved. The question is how to fairly distribute, among the individual agents, the obtained joint interest. Our answer is based on a modified sharing, according ...
International Journal of Intelligent Systems, 2015
ABSTRACT In this paper, the dosage of the times in the repeated and fractionable actions is studi... more ABSTRACT In this paper, the dosage of the times in the repeated and fractionable actions is studied. The interventions in time are abstract in nature and deal also with the psychological aspect of the individual behavior, in a wider perspective of utility, or the management of procedures in output systems. Furthermore, decomposability of discount functions is explored, and time period splitting plans are considered. Such procedures are analyzed, for instance, in the treatment of drug addiction, and various applications in behavioral sciences have been found. We wonder whether it would be convenient an infinite subdivision, that is, a finest fragmentation of time period (for a medical treatment, or a financial process, or a man-machine interrelation); or, on the contrary, a possible efficient subdivision must be bounded. Specifically, we deal with the problem of finding the expression of a discount function able to distinguish between favorableness and unfavorableness of the refinements of splitting levels for general processes.
Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 1994
Abstract This paper presents a method used to improve the current personnel evaluation procedures... more Abstract This paper presents a method used to improve the current personnel evaluation procedures in a large company. The method is grounded on the semiotic analysis of stories justifying judgments. Categories and verbal values are represented by using concepts of ...
... Second University of Rome "Tor Vergata", Rome Giuseppe Zollo ODISSE... more ... Second University of Rome "Tor Vergata", Rome Giuseppe Zollo ODISSEO, Dept. ... [9] Hersh, HM, Caramazza AA (1976), "A fuzzy set approach to modifiers and vagueness in natural language", Journal ofExperflnental Psycology, 105, 254-276 [10] Kay, P., McDaniel, C. (19757 ...
[Proceedings 1993] Second IEEE International Conference on Fuzzy Systems, 1993
The authors discuss the application of fuzzy set theory to a personnel evaluation procedure. The ... more The authors discuss the application of fuzzy set theory to a personnel evaluation procedure. The effectiveness of fuzzy concepts and methods depends on the approach used for the analysis of organizational issues. The current process for evaluating potential candidates for higher positions in the company hierarchy is managed by a procedure which comprises three important aspects: organizational relationships, rating sheets,
Proceedings of IEEE 5th International Fuzzy Systems, 1996
The paper presents a fuzzy model of the evaluation activity within a large organization. The mode... more The paper presents a fuzzy model of the evaluation activity within a large organization. The model was developed for the evaluation of competences of professional workers. According to the model, the evaluation is carried on by a network of evaluators, who evaluate the competences expressed by individuals in situations they manage during their activity. The evaluators are forced to explain
NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society, 2008
Reaching consensus is a crucial objective in multicriteria and multiagent decision making. To thi... more Reaching consensus is a crucial objective in multicriteria and multiagent decision making. To this aim some perspectives are here studied, such as a geometric representation and a game theoretical modelling. This is a start point for a definition of a consensus activating procedure.
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998
An important feature of some financial laws is the decomposability property. This is a theoretica... more An important feature of some financial laws is the decomposability property. This is a theoretical issue for a financial law admitting that the cash flow does not change when the economic subject disinvests and immediately re-invests a capital. Decomposable laws are exponential. In the recent past, the notion of decomposability has been generalized, modelling non homogeneity of the time in financial processes by the action of triangular t-conorms over the times. In this more general setting, our aim is to compare and measure ...
Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each ... more Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each member of a committee of experts has his own knowledge-base and a current information in order to make decisions. We assume the committee adopt the AHP as the tool that each expert uses to construct the personal ranking of alternatives. As described and formalized in (Carlsson et
Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each ... more Ranking alternatives is a central issue in multi-criteria and multi-person decision making. Each member of a committee of experts has his own knowledge-base and a current information in order to make decisions. We assume the committee adopt the AHP as the tool that each expert uses to construct the personal ranking of alternatives. As described and formalized in (Carlsson et al., 1992; Eklund et al., 2007; Maturo, and Ventre, 2008) each decision maker is represented by a point of the Euclidean space R m , where the coordinates are the scores of the alternatives. Enhancing consensus in the group reduces to implementing a procedure that makes these points closer, so that they can be included in a suitably small neighborhood. In order to obtain consensus the more peripheral decision makers are invited by an impartial chairman, called the Demiurge, to modify their assessments. What seems to us worth to be considered is a further convergence procedure related to the weights of the criter...
The problem of multiperson and multiobjective decision making is considered. Models based on fuzz... more The problem of multiperson and multiobjective decision making is considered. Models based on fuzzy measures are introduced. Moreover the problem of checking coherence of an assessment of scores to pairs (alternative, objective) is faced. The procedures of aggregating scores w.r.t. the objectives and w.r.t. the decision makers are studied. Geometrical interpretations of the concepts introduced and the results obtained are shown, based on hyperstructures and, in particular, join spaces.
Abstract. Coherence is a central issue in probability (de Finetti, 1970). The stud-ies on non-add... more Abstract. Coherence is a central issue in probability (de Finetti, 1970). The stud-ies on non-additive models in decision making, eg, non-expected utility models (Fishburn, 1988), lead to an extension of the coherence principle in nonadditive settings, such as fuzzy or ambiguous contexts. ...
Some financial investments offer different profitabilities according to the invested amounts. The... more Some financial investments offer different profitabilities according to the invested amounts. They are operations which differentiate rates of interest depending on the placed capital, i.e., operations whose underlying capitalization functions are not linear with respect to the invested sums. Usually, this differentiation is performed by assigning a variable rate that is an increasing function of the amounts at given jump points, and constant in each interval. As a result, the capitalization function is discontinuous with a finite number of jumps, once the investment term has been fixed. In this situation, an investor can take advantage of differentials in interest rates between two intervals and so it could be convenient, for a group of investors, to join their quantities of money because greater rates of interest can be achieved. The question is how to fairly distribute, among the individual agents, the obtained joint interest. Our answer is based on a modified sharing, according ...
International Journal of Intelligent Systems, 2015
ABSTRACT In this paper, the dosage of the times in the repeated and fractionable actions is studi... more ABSTRACT In this paper, the dosage of the times in the repeated and fractionable actions is studied. The interventions in time are abstract in nature and deal also with the psychological aspect of the individual behavior, in a wider perspective of utility, or the management of procedures in output systems. Furthermore, decomposability of discount functions is explored, and time period splitting plans are considered. Such procedures are analyzed, for instance, in the treatment of drug addiction, and various applications in behavioral sciences have been found. We wonder whether it would be convenient an infinite subdivision, that is, a finest fragmentation of time period (for a medical treatment, or a financial process, or a man-machine interrelation); or, on the contrary, a possible efficient subdivision must be bounded. Specifically, we deal with the problem of finding the expression of a discount function able to distinguish between favorableness and unfavorableness of the refinements of splitting levels for general processes.
Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 1994
Abstract This paper presents a method used to improve the current personnel evaluation procedures... more Abstract This paper presents a method used to improve the current personnel evaluation procedures in a large company. The method is grounded on the semiotic analysis of stories justifying judgments. Categories and verbal values are represented by using concepts of ...
... Second University of Rome "Tor Vergata", Rome Giuseppe Zollo ODISSE... more ... Second University of Rome "Tor Vergata", Rome Giuseppe Zollo ODISSEO, Dept. ... [9] Hersh, HM, Caramazza AA (1976), "A fuzzy set approach to modifiers and vagueness in natural language", Journal ofExperflnental Psycology, 105, 254-276 [10] Kay, P., McDaniel, C. (19757 ...
[Proceedings 1993] Second IEEE International Conference on Fuzzy Systems, 1993
The authors discuss the application of fuzzy set theory to a personnel evaluation procedure. The ... more The authors discuss the application of fuzzy set theory to a personnel evaluation procedure. The effectiveness of fuzzy concepts and methods depends on the approach used for the analysis of organizational issues. The current process for evaluating potential candidates for higher positions in the company hierarchy is managed by a procedure which comprises three important aspects: organizational relationships, rating sheets,
Proceedings of IEEE 5th International Fuzzy Systems, 1996
The paper presents a fuzzy model of the evaluation activity within a large organization. The mode... more The paper presents a fuzzy model of the evaluation activity within a large organization. The model was developed for the evaluation of competences of professional workers. According to the model, the evaluation is carried on by a network of evaluators, who evaluate the competences expressed by individuals in situations they manage during their activity. The evaluators are forced to explain
NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society, 2008
Reaching consensus is a crucial objective in multicriteria and multiagent decision making. To thi... more Reaching consensus is a crucial objective in multicriteria and multiagent decision making. To this aim some perspectives are here studied, such as a geometric representation and a game theoretical modelling. This is a start point for a definition of a consensus activating procedure.
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998
An important feature of some financial laws is the decomposability property. This is a theoretica... more An important feature of some financial laws is the decomposability property. This is a theoretical issue for a financial law admitting that the cash flow does not change when the economic subject disinvests and immediately re-invests a capital. Decomposable laws are exponential. In the recent past, the notion of decomposability has been generalized, modelling non homogeneity of the time in financial processes by the action of triangular t-conorms over the times. In this more general setting, our aim is to compare and measure ...
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Papers by Aldo Ventre