Benchmarking in linguistic importance weighted aggregations

Christer Carlsson, R. Fullér

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

In this work we concentrate on the issue of weighted aggregations and provide a possibilistic approach to the process of importance weighted transformation when both the importances (interpreted as benchmarks) and the ratings are given by symmetric triangular fuzzy numbers. We will show that using the possibilistic approach (i) small changes in the membership function of the importances can cause only small variations in the weighted aggregate; (ii) the weighted aggregate of fuzzy ratings remains stable under small changes in the nonfuzzy importances; (iii) the weighted aggregate of crisp ratings still remains stable under small changes in the crisp importances whenever we use a continuous implication operator for the importance weighted transformation. We illustrate the proposed method by some simple examples.

Original languageEnglish
Pages (from-to)35-41
Number of pages7
JournalFuzzy Sets and Systems
Volume114
Issue number1
Publication statusPublished - Aug 16 2000

Fingerprint

Benchmarking
Linguistics
Aggregation
Agglomeration
Implication Operator
Triangular Fuzzy number
Membership functions
Membership Function
Benchmark
Rating

Keywords

  • Fuzzy implications
  • Linguistic variables
  • Owa operators
  • Possibility
  • Sensitivity analysis
  • Triangular fuzzy number

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

Cite this

Benchmarking in linguistic importance weighted aggregations. / Carlsson, Christer; Fullér, R.

In: Fuzzy Sets and Systems, Vol. 114, No. 1, 16.08.2000, p. 35-41.

Research output: Contribution to journalArticle

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