Comprehensive nonmodularity and interaction indices for decision analysis

2021 ◽  
pp. 1-15
Author(s):  
Jian-Zhang Wu ◽  
Gleb Beliakov
Keyword(s):  
Decision Analysis ◽  
Decision Criteria ◽  
Internal Interaction ◽  
The Common ◽  
Interaction Phenomenon

Nonmodularity is a prominent property of capacity that deeply links to the internal interaction phenomenon of multiple decision criteria. Following the common architectures of the simultaneous interaction indices as well as of the bipartition interaction indices, in this paper, we construct and study the notion of probabilistic nonmodularity index and also its particular cases, such as Shapely and Banzhaf nonmodularity indices, which can be used to describe the comprehensive interaction situations of decision criteria. The connections and differences among three categories of interaction indices are also investigated and compared theoretically and empirically. It is shown that three types of interaction indices have the same roots in their first and second orders, but meanwhile the nonmodularity indices have involved less amount of subsets and can be adopted to describe the interaction phenomenon in decision analysis.

Nonadditivity Index Based Quasi-Random Generation of Capacities and Its Application in Comprehensive Decision Aiding

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 301
Author(s):  
Li Huang ◽  
Jian-Zhang Wu ◽  
Rui-Jie Xi
Keyword(s):  
Generation Process ◽  
Random Generation ◽  
Decision Criteria ◽  
Interaction Index ◽  
Decision Aiding ◽  
Satisfactory Performance ◽  
Complex Constraints ◽  
Interaction Phenomenon

The capacity is a powerful tool with exponential coefficients to represent the interaction phenomenon among decision criteria, but its random generation becomes a tough issue for dealing with the monotonicity with all inclusion subsets as well as the complex constraints of decision preference. In this paper, we adopt a kind of explicit interaction index, the nonadditivity index, to construct two types of quasi-random generation methods of capacity under a given decision interaction preference. Compared to the existing random generation algorithms, the methods have relatively satisfactory performance on the statistics characteristic of generated capacities but need rather less calculation effort on the generation process. We also show the effectiveness of proposed quasi-random generation methods by an illustrative decision example.

Strategically Aligning Capital Improvement Prioritization to Performance Goals

2018 ◽  
Vol 2672 (51) ◽  
pp. 68-78
Author(s):  
Elliot Sperling ◽  
Catherine Ross
Keyword(s):  
Decision Analysis ◽  
Performance Management ◽  
Evaluation Criteria ◽  
Project Evaluation ◽  
Performance Goals ◽  
Decision Criteria ◽  
Improvement Program ◽  
Performance Targets ◽  
Selection Processes ◽  
National Performance

In complying with federal reporting requirements, state transportation agencies will need to demonstrate progress toward achieveing national performance targets in their next long-range transportation plan (LRTP) and state transportation improvement program (STIP). In order to better understand current practices a survey was administered to state departments of transportation (DOTs) to gauge their overall status in complying with rulemakings on transportation performance management, and to measure DOT interest in using new metrics and prioritization techniques to advance data-driven processes for decision making. Furthermore, it was to examine evidence of cross-modal project evaluation and to explore practices by which states align decision criteria and analysis techniques with national performance goals and objectives. Survey results revealed the transition in practice toward performance-based approaches, but more limited use of cross-modal evaluation criteria. Case studies were also used to document decision criteria areas that help states advance alignment of their planning and programming processes. From the survey and case study analysis, recommendations are provided to underscore the need for multi-criteria decision analysis, or a similar decision analysis framework, to help states align project evaluation with national performance goals. As state DOTs adopt performance-based approaches they must review their project selection processes to ensure performance measures are linked to current investments, and funded projects align with agency goal areas and desired outcomes.

Evaluation of Febrile Infant

PEDIATRICS ◽  
1993 ◽  
Vol 91 (3) ◽  
pp. 677-678
Author(s):  
JAMES E. LEVIN
Keyword(s):  
Decision Analysis ◽  
Diagnostic Tests ◽  
Mathematical Representations ◽  
Febrile Infant ◽  
The Common

To the Editor.— Lieu et al are to be congratulated for their comprehensive use of decision analysis to model the common problem of the evaluation and treatment of the febrile infant 1 to 3 months of age.1 One of the great strengths of this method is that it can promote discussion and research by making explicit all assumptions about the effectiveness of diagnostic tests and treatments. I would like to thank Dr Lieu for fostering this discussion by making available to me the mathematical representations of this model after its publication.

Selection of Independent Proposals with Random Cash Flows and Limited Total Investment Capitals

2011 ◽  
Vol 90-93 ◽  
pp. 3193-3198
Author(s):  
Ya Fei Jiang
Keyword(s):  
General Model ◽  
Random Variables ◽  
Cash Flows ◽  
Decision Criteria ◽  
Random Condition ◽  
Investment Capital ◽  
Total Investment ◽  
The Common ◽  
Selection Of

Data and parameters of the proposals being selected may be not assured. This uncertainty of data and parameters can be expressed as random variables. The paper is about how to use random decision criteria to select independent proposals where investment capitals available are limited and cash flows or parameters are random variables. The paper first simply introduces the decision criteria on random condition, and gives the common methods to get these values of decision criteria. Then the general model of independent proposals decision with limited capital under random condition, and the solutions of proposals selection are put forward. In the last section a numeric example is given to show how to use software to select independent proposals with random cash flows and limited total investment capital.

scholarly journals Common controls driven conceptual leadership framework

2018 ◽  
Vol 10 (1) ◽  
pp. 89-101 ◽  
Author(s):  
Petteri Mussalo ◽  
Virpi Hotti ◽  
Anastasia Kirjanen ◽  
Henna Lauronen ◽  
Jukka Holopainen ◽  
...  
Keyword(s):  
Best Practices ◽  
Social Welfare ◽  
Healthcare Reform ◽  
Service Systems ◽  
Decision Criteria ◽  
The Social ◽  
Leadership Framework ◽  
Control Objective ◽  
The Common

The forthcoming social welfare and healthcare reform in Finland with its organizational, financing and steering changes challenges the leadership. All service systems levels of the social welfare and healthcare have to achieve performance objectives whilst at the same time also meeting conformance requirements. However, there are hundreds authority documents (e.g., best practices, guidelines, regulations and standards) the common controls of which are adapted partly manually and partly by leveraging automation in organizations. Leaders review and develop their practices around performance and conformity (i.e., conformance or compliance) within frameworks that are mainly the sets of principles. However, the common controls affect into the main tasks of the governance (i.e., direct, evaluate and monitor). Therefore, we construct a conceptual leadership framework to highlight the meaning of the common controls and the meaning of criteria for performance and conformity. The constructed framework contains the terms (e.g., a control objective, decision criteria, event, insight, and transaction) that are mainly defined in the glossaries of the authority documents. The terms are used to find out terms and definitions for the leadership framework to figure out cognitive meanings for the concepts of the common controls driven leadership.

Multicriteria correlation preference information (MCCPI) with nonadditivity index for decision aiding

2020 ◽  
Vol 39 (3) ◽  
pp. 3441-3452
Author(s):  
Li Huang ◽  
Jian-Zhang Wu ◽  
Gleb Beliakov
Keyword(s):  
Decision Aid ◽  
Pairwise Comparison ◽  
Random Generation ◽  
Decision Criteria ◽  
Preference Information ◽  
Decision Aiding ◽  
Dominance Relationships ◽  
Decision Scheme ◽  
Internal Interaction ◽  
Decision Alternatives

MCCPI (Multiple Criteria Correlation Preference Information) is a kind of 2 dimensional decision preference information obtained by pairwise comparison on the importance and interaction of decision criteria. In this paper, we introduce the nonadditivity index to replace the Shapley simultaneous interaction index and construct an undated MCCPI based decision scheme. We firstly propose a diagram to help decision maker obtain the nonadditivity index type MCCPI, then establish transform equations to normalize them into desired capacity and finally adopt a random generation MCCPI based comprehensive decision aid algorithm to explore the dominance relationships and creditable ranking orders of all decision alternatives. An illustrative example is also given to demonstrate the feasibility and effectiveness of the proposed decision scheme. It’s shown that based on some good properties of nonadditivity index in practice, the updated MCCPI model can deal with the internal interaction among decision criteria with relatively less model construction and calculation effort.

Catalogue reduction techniques

1978 ◽  
Vol 48 ◽  
pp. 389-390 ◽  
Author(s):  
Chr. de Vegt
Keyword(s):  
Adjustment Process ◽  
Proper Motions ◽  
Measuring Process ◽  
Aerial Photogrammetry ◽  
Reduction Techniques ◽  
Observational Technique ◽  
The Common ◽  
Astrometric Data

AbstractReduction techniques as applied to astrometric data material tend to split up traditionally into at least two different classes according to the observational technique used, namely transit circle observations and photographic observations. Although it is not realized fully in practice at present, the application of a blockadjustment technique for all kind of catalogue reductions is suggested. The term blockadjustment shall denote in this context the common adjustment of the principal unknowns which are the positions, proper motions and certain reduction parameters modelling the systematic properties of the observational process. Especially for old epoch catalogue data we frequently meet the situation that no independent detailed information on the telescope properties and other instrumental parameters, describing for example the measuring process, is available from special calibration observations or measurements; therefore the adjustment process should be highly self-calibrating, that means: all necessary information has to be extracted from the catalogue data themselves. Successful applications of this concept have been made already in the field of aerial photogrammetry.

Sign in / Sign up

Export Citation Format

Share Document