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An interval-valued intuitionistic fuzzy TOPSIS method based on an improved score function.

Zhi-yong Bai1

  • 1College of Arts and Design, Beijing Forestry University, 35 Tsinghua East Road, Beijing 100083, China.

Thescientificworldjournal
|January 25, 2014
PubMed
Summary
This summary is machine-generated.

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This study introduces an improved score function for ranking interval-valued intuitionistic fuzzy sets (IVIFSs). The new function enhances multicriteria decision-making by refining the TOPSIS method for better alternative selection.

Area of Science:

  • Fuzzy Mathematics
  • Decision Sciences

Background:

  • Multicriteria decision-making (MCDM) often involves uncertainty.
  • Interval-valued intuitionistic fuzzy sets (IVIFSs) handle imprecise information effectively.

Purpose of the Study:

  • To develop an improved score function for ranking IVIFSs.
  • To propose an enhanced interval-valued intuitionistic fuzzy TOPSIS method.

Main Methods:

  • A novel score function is introduced for IVIFSs.
  • The TOPSIS method is adapted using the proposed score function.
  • Separation measures and closeness coefficients are calculated for alternatives.

Main Results:

  • The improved score function enables effective ranking of alternatives.

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  • The proposed method accurately identifies the most desirable alternatives.
  • Demonstrated effectiveness through two illustrative examples.

    • Conclusions:

    • The enhanced score function and TOPSIS method improve MCDM with IVIFSs.
    • The approach provides a robust framework for decision-making under uncertainty.