Publication detail

Reconciliation of Decision-Making Heuristics Based on Decision Trees Topologies and Incomplete Fuzzy Probabilities Sets

DOUBRAVSKÝ, K. DOHNAL, M.

Original Title

Reconciliation of Decision-Making Heuristics Based on Decision Trees Topologies and Incomplete Fuzzy Probabilities Sets

Type

journal article in Web of Science

Language

English

Original Abstract

Complex decision making tasks of different natures, e.g. economics, safety engineering, ecology and biology, are based on vague, sparse, partially inconsistent and subjective knowledge. Moreover, decision making economists / engineers are usually not willing to invest too much time into study of complex formal theories. They require such decisions which can be (re)checked by human like common sense reasoning. One important problem related to realistic decision making tasks are incomplete data sets required by the chosen decision making algorithm. This paper presents a relatively simple algorithm how some missing III (input information items) can be generated using mainly decision tree topologies and integrated into incomplete data sets. The algorithm is based on an easy to understand heuristics, e.g. a longer decision tree sub-path is less probable. This heuristic can solve decision problems under total ignorance, i.e. the decision tree topology is the only information available. But in a practice, isolated information items e.g. some vaguely known probabilities (e.g. fuzzy probabilities) are usually available. It means that a realistic problem is analysed under partial ignorance. The proposed algorithm reconciles topology related heuristics and additional fuzzy sets using fuzzy linear programming. The case study, represented by a tree with six lotteries and one fuzzy probability, is presented in details.

Keywords

Decision Tree, Partial Ignorance, Total Ignorance, Reconciliation, Fuzzy Linear Programming, Fuzzy Probability.

Authors

DOUBRAVSKÝ, K.; DOHNAL, M.

RIV year

2015

Released

9. 7. 2015

Publisher

PLOS

ISBN

1932-6203

Periodical

PLOS ONE

Year of study

7

Number

10

State

United States of America

Pages from

1

Pages to

18

Pages count

18

URL

http://europepmc.org/articles/PMC4497622?pdf=render

Full text in the Digital Library

http://hdl.handle.net/11012/41998

BibTex

@article{BUT115241,
  author="Karel {Doubravský} and Mirko {Dohnal}",
  title="Reconciliation of Decision-Making Heuristics Based on Decision Trees Topologies and Incomplete Fuzzy Probabilities Sets",
  journal="PLOS ONE",
  year="2015",
  volume="7",
  number="10",
  pages="1--18",
  doi="10.1371/journal.pone.0131590",
  issn="1932-6203",
  url="http://europepmc.org/articles/PMC4497622?pdf=render"
}