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Soft Computing

, Volume 22, Issue 22, pp 7463–7477 | Cite as

Acceptably consistent incomplete interval-valued intuitionistic multiplicative preference relations

  • Mamata Sahu
  • Anjana Gupta
  • Aparna Mehra
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Abstract

We study the consistency property, and especially the acceptably consistent property, for incomplete interval-valued intuitionistic multiplicative preference relations. We propose a technique which first estimates the initial values for all missing entries in an incomplete interval-valued intuitionistic multiplicative preference relation and then improves them by a local optimization method. Two examples are presented in order to illustrate applications of the proposed method in group decision-making problems.

Keywords

Multiplicative preference relation Interval-valued intuitionistic fuzzy number Acceptably consistent preference relation Multi-criteria group decision-making problems 

Notes

Acknowledgements

The authors are thankful to the esteemed referees for their valuable comments which help to improve the presentation of the paper substantially. The authors acknowledge the editor-in-chief for being considerate and supportive.

Compliance with ethical standards

Conflict of interest

All three authors declare that they have no conflict of interest regarding the publication of this manuscript.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsDelhi Technological UniversityDelhiIndia
  2. 2.Department of MathematicsIndian Institute of Technology DelhiHauz Khas, DelhiIndia

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