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Summary

This study defines a procedure for assigning membership functions to linguistic terms in preference modeling. It differentiates between weakening and reinforcement hedges, using distinct mathematical models for each to define term semantics.

Keywords:
fuzzy preference relationslinguistic modifiersmulticriteria decision makingpair-wise comparisonsreferential termsemantic rules

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Area of Science:

  • Information Theory, Probability and Statistics
  • Linguistics
  • Fuzzy Set Theory

Background:

  • Linguistic terms and hedges significantly influence preference modeling.
  • Understanding the semantics of linguistic terms requires analyzing inherent features and contextual factors.
  • Existing methods may not adequately capture the nuanced meanings introduced by hedges.

Purpose of the Study:

  • To define a procedure for assigning membership functions to linguistic terms based on their inherent semantic features.
  • To determine the semantics of linguistic terms within preference modeling contexts.
  • To differentiate and model the distinct semantic impacts of weakening and reinforcement hedges.

Main Methods:

  • Analysis of linguistic concepts: language complementarity, context influence, and hedge effects on adverbial meaning.
  • Application of fuzzy relational calculus for weakening hedges.
  • Utilization of the horizon shifting model from Alternative Set Theory for reinforcement hedges.

Main Results:

  • Specificity, entropy, and position of membership functions are determined by hedge semantics.
  • Weakening hedges are linguistically non-inclusive; reinforcement hedges are linguistically inclusive.
  • The elicitation method yields non-uniform, non-symmetrical triangular fuzzy number distributions.

Conclusions:

  • A novel procedure for membership function assignment based on linguistic term features is established.
  • Distinct mathematical approaches are necessary to model the differing semantics of weakening and reinforcement hedges.
  • The proposed method provides a more accurate representation of term set semantics in preference modeling.