Fred S Roberts
Biographic Data
| ID | 1098763 |
|---|---|
| NAME | Fred S Roberts |
| GIVEN NAMES | Fred S |
| FAMILY NAME | Roberts |
| SIGNATURE | ROBERTS F S |
| AFFILIATIONS | Rutgers, the State University of New Jersey |
| ORCID | 0000-0001-8421-4759 |
| VERIFIED | Yes |
| TOTAL WORKS | 25 |
| TOTAL CITATIONS | 40 |
| WORKS AS AUTHOR | 24 |
| WORKS AS EDITOR | 1 |
| FIRST PUBLICATION YEAR | 1967 |
| LATEST PUBLICATION YEAR | 2025 |
| H-INDEX | 4 |
Meaningful, useful and legitimate information in the use of index numbers for decision making
Often information relevant to a decision is summarized in an index number. This paper explores conditions under which conclusions using index numbers are relevant to the decision that needs to be made. Specifically, it explores the idea that a statement using scales of measurement is meaningful in the sense that its truth or falsity does not depend on an arbitrary choice of parameters; the concept that a conclusion using index numbers is useful f…
Peter C. Fishburn (1936–2021)
Peter C. Fishburn (1936–2021)
Peter C. Fishburn (1936–2021)
From Football to Oil Rigs
Although cyber security has become widely recognized as a serious threat to our modern world, there are new threats to our security that combine cyber with other modes of “attack.” This article explores the increasingly important theme in homeland and national security that future attacks will be multimodal, in particular including both a cyber and a physical component, where the cyber attack is intended to make it easier to succeed in the physic…
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences
Measurement Theory
This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author…
Voting theory and preference modeling
The role assignment model nearly fits most social networks
Characterizations of the plurality function
On the indicator function of the plurality function
On the possible merging functions
Unique finite conjoint measurement
Scale type, meaningfulness, and the possible psychophysical laws
Discrete and System Models
Efficiency of Energy Use in Obtaining Food, I
Efficiency of Energy Use in Obtaining Food, II
Malaria
On Luce's Theory of Meaningfulness
This paper studies the theory of uniqueness of scales of measurement, and in particular, the theory of meaningfulness of statements using scales. The paper comments on the general theory of meaningfulness adopted by Luce in connection with his work on dimensionally invariant numerical laws. It comments on Luce's generalization of the concept of meaningfulness of a statement involving scales to a concept of meaningfulness of an arbitrary relation …
Graph Theory and Its Applications to Problems of Society
Weighted Digraph Models for the Assessment of Energy Use and Air Pollution in Transportation Systems
This paper describes extensions, to weighted and double-weighted digraphs, of the author's earlier work on building and analyzing energy-demand signed digraphs. Several weighted and double-weighted digraphs are built to provide a test of the construction methodology, to provide a test of the methods of analysis of such digraphs, and to illustrate the type of analysis one can make using such digraphs as models of complex systems. The digraphs are …
Building and Analyzing an Energy Demand Signed Digraph
This paper describes some of the author's work on developing a methodology for building and analyzing an energy demand signed digraph using the subjective judgements of groups of experts. The method is illustrated using energy consumption in the transportation sector, in particular in the intraregional commuter transportation sector, as an example. The specific procedure described consists of three rounds, two devoted to choosing nodes and one to…
Signed Digraphs and the Growing Demand for Energy
Many problems of society, including those relating to energy use, air pollution and solid-waste disposal, seem amenable to formulation using the techniques of the rapidly growing field of graph theory, in particular, the notion of a signed digraph (directed graph). This paper outlines a methodology which exploits the signed digraph for handling problems of forecasting energy demand and the effect of new technologies and institutions on that deman…
Axiomatic thermodynamics and extensive measurement
Some problems in the geometry of visual perception
Characterizations of the plurality function
On the possible merging functions
Scale type, meaningfulness, and the possible psychophysical laws
Axiomatic thermodynamics and extensive measurement
Building and Analyzing an Energy Demand Signed Digraph
This paper describes some of the author's work on developing a methodology for building and analyzing an energy demand signed digraph using the subjective judgements of groups of experts. The method is illustrated using energy consumption in the transportation sector, in particular in the intraregional commuter transportation sector, as an example. The specific procedure described consists of three rounds, two devoted to choosing nodes and one to…
Unique finite conjoint measurement
Weighted Digraph Models for the Assessment of Energy Use and Air Pollution in Transportation Systems
This paper describes extensions, to weighted and double-weighted digraphs, of the author's earlier work on building and analyzing energy-demand signed digraphs. Several weighted and double-weighted digraphs are built to provide a test of the construction methodology, to provide a test of the methods of analysis of such digraphs, and to illustrate the type of analysis one can make using such digraphs as models of complex systems. The digraphs are …
Some problems in the geometry of visual perception
From Football to Oil Rigs
Although cyber security has become widely recognized as a serious threat to our modern world, there are new threats to our security that combine cyber with other modes of “attack.” This article explores the increasingly important theme in homeland and national security that future attacks will be multimodal, in particular including both a cyber and a physical component, where the cyber attack is intended to make it easier to succeed in the physic…
Signed Digraphs and the Growing Demand for Energy
Many problems of society, including those relating to energy use, air pollution and solid-waste disposal, seem amenable to formulation using the techniques of the rapidly growing field of graph theory, in particular, the notion of a signed digraph (directed graph). This paper outlines a methodology which exploits the signed digraph for handling problems of forecasting energy demand and the effect of new technologies and institutions on that deman…
Some problems in the geometry of visual perception
Axiomatic thermodynamics and extensive measurement
Signed Digraphs and the Growing Demand for Energy
Many problems of society, including those relating to energy use, air pollution and solid-waste disposal, seem amenable to formulation using the techniques of the rapidly growing field of graph theory, in particular, the notion of a signed digraph (directed graph). This paper outlines a methodology which exploits the signed digraph for handling problems of forecasting energy demand and the effect of new technologies and institutions on that deman…
Building and Analyzing an Energy Demand Signed Digraph
This paper describes some of the author's work on developing a methodology for building and analyzing an energy demand signed digraph using the subjective judgements of groups of experts. The method is illustrated using energy consumption in the transportation sector, in particular in the intraregional commuter transportation sector, as an example. The specific procedure described consists of three rounds, two devoted to choosing nodes and one to…
Weighted Digraph Models for the Assessment of Energy Use and Air Pollution in Transportation Systems
This paper describes extensions, to weighted and double-weighted digraphs, of the author's earlier work on building and analyzing energy-demand signed digraphs. Several weighted and double-weighted digraphs are built to provide a test of the construction methodology, to provide a test of the methods of analysis of such digraphs, and to illustrate the type of analysis one can make using such digraphs as models of complex systems. The digraphs are …
Graph Theory and Its Applications to Problems of Society
On Luce's Theory of Meaningfulness
This paper studies the theory of uniqueness of scales of measurement, and in particular, the theory of meaningfulness of statements using scales. The paper comments on the general theory of meaningfulness adopted by Luce in connection with his work on dimensionally invariant numerical laws. It comments on Luce's generalization of the concept of meaningfulness of a statement involving scales to a concept of meaningfulness of an arbitrary relation …
Discrete and System Models
Efficiency of Energy Use in Obtaining Food, I
Efficiency of Energy Use in Obtaining Food, II
Malaria
Scale type, meaningfulness, and the possible psychophysical laws
Unique finite conjoint measurement
On the possible merging functions
Characterizations of the plurality function
On the indicator function of the plurality function
The role assignment model nearly fits most social networks
Voting theory and preference modeling
Measurement Theory
This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author…
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences
From Football to Oil Rigs
Although cyber security has become widely recognized as a serious threat to our modern world, there are new threats to our security that combine cyber with other modes of “attack.” This article explores the increasingly important theme in homeland and national security that future attacks will be multimodal, in particular including both a cyber and a physical component, where the cyber attack is intended to make it easier to succeed in the physic…
Peter C. Fishburn (1936–2021)
Peter C. Fishburn (1936–2021)
Peter C. Fishburn (1936–2021)
Meaningful, useful and legitimate information in the use of index numbers for decision making
Often information relevant to a decision is summarized in an index number. This paper explores conditions under which conclusions using index numbers are relevant to the decision that needs to be made. Specifically, it explores the idea that a statement using scales of measurement is meaningful in the sense that its truth or falsity does not depend on an arbitrary choice of parameters; the concept that a conclusion using index numbers is useful f…
Computer Science (16 works) · Mathematics (16 works) · Mathematical economics (9 works) · Engineering (6 works) · Political science (6 works) · Biology (5 works) · Combinatorics (4 works) · Complex Network Analysis Techniques (4 works) · Discrete mathematics (4 works) · Epistemology (4 works)