Several Generalized Interval-Valued 2-Tuple Linguistic Weighted Distance Measures and their Application

Several Generalized Interval-Valued 2-Tuple Linguistic Weighted Distance Measures and their... With respect to interval-valued 2-tuple linguistic variables, this paper first defines a generalized distance measure. Then, several generalized interval-valued 2-tuple linguistic weighted distance measures are presented. To consider the interactions between elements in a set, three correlative weighted distance measures named the generalized interval-valued 2-tuple linguistic Shapley weighted distance measure, the generalized interval-valued 2-tuple linguistic ordered Shapley weighted distance measure, and the generalized interval-valued 2-tuple linguistic hybrid Shapley weighted distance measure are provided. Meanwhile, several special cases and desirable properties are considered. To obtain the weight vectors, models based on the Euclidean distance measure are constructed. Subsequently, an approach to pattern recognition and to multi-attribute decision making with interval linguistic preference information is developed, and the associated examples are offered to show their concrete application. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Fuzzy Systems Springer Journals

Several Generalized Interval-Valued 2-Tuple Linguistic Weighted Distance Measures and their Application

Loading next page...
 
/lp/springer_journal/several-generalized-interval-valued-2-tuple-linguistic-weighted-JKOK2NS6bf
Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2016 by Taiwan Fuzzy Systems Association and Springer-Verlag Berlin Heidelberg
Subject
Engineering; Computational Intelligence; Artificial Intelligence (incl. Robotics); Operations Research, Management Science
ISSN
1562-2479
eISSN
2199-3211
D.O.I.
10.1007/s40815-016-0218-5
Publisher site
See Article on Publisher Site

Abstract

With respect to interval-valued 2-tuple linguistic variables, this paper first defines a generalized distance measure. Then, several generalized interval-valued 2-tuple linguistic weighted distance measures are presented. To consider the interactions between elements in a set, three correlative weighted distance measures named the generalized interval-valued 2-tuple linguistic Shapley weighted distance measure, the generalized interval-valued 2-tuple linguistic ordered Shapley weighted distance measure, and the generalized interval-valued 2-tuple linguistic hybrid Shapley weighted distance measure are provided. Meanwhile, several special cases and desirable properties are considered. To obtain the weight vectors, models based on the Euclidean distance measure are constructed. Subsequently, an approach to pattern recognition and to multi-attribute decision making with interval linguistic preference information is developed, and the associated examples are offered to show their concrete application.

Journal

International Journal of Fuzzy SystemsSpringer Journals

Published: Jul 7, 2016

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from Google Scholar, PubMed
Create lists to organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off