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Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers

Shang-ming Zhou Orcid Logo, Francisco Chiclana, Robert I. John, Jonathan M. Garibaldi

Fuzzy Sets and Systems, Volume: 159, Issue: 24, Pages: 3281 - 3296

Swansea University Author: Shang-ming Zhou Orcid Logo

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DOI (Published version): 10.1016/j.fss.2008.06.018

Abstract

The OWA operator proposed by Yager has been widely used to aggregate experts’ opinions or preferences in human decision making. Yager's traditional OWA operator focuses exclusively on the aggregation of crisp numbers. However, experts usually tend to express their opinions or preferences in a v...

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Published in: Fuzzy Sets and Systems
ISSN: 01650114
Published: 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa10069
first_indexed 2013-07-23T12:02:44Z
last_indexed 2019-07-17T19:49:14Z
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spelling 2019-07-17T15:07:18.3948786 v2 10069 2012-03-21 Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers 118578a62021ba8ef61398da0a8750da 0000-0002-0719-9353 Shang-ming Zhou Shang-ming Zhou true false 2012-03-21 MEDS The OWA operator proposed by Yager has been widely used to aggregate experts’ opinions or preferences in human decision making. Yager's traditional OWA operator focuses exclusively on the aggregation of crisp numbers. However, experts usually tend to express their opinions or preferences in a very natural way via linguistic terms. These linguistic terms can be modelled or expressed by (type-1) fuzzy sets. In this paper, we define a new type of OWA operator, the type-1 OWA operator that works as an uncertain OWA operator to aggregate type-1 fuzzy sets with type-1 fuzzy weights, which can be used to aggregate the linguistic opinions or preferences in human decision making with linguistic weights. The procedure for performing type-1 OWA operations is analysed. In order to identify the linguistic weights associated to the type-1 OWA operator, type-2 linguistic quantifiers are proposed. The problem of how to derive linguistic weights used in type-1 OWA aggregation given such type of quantifier is solved. Examples are provided to illustrate the proposed concepts. Journal Article Fuzzy Sets and Systems 159 24 3281 3296 01650114 16 12 2008 2008-12-16 10.1016/j.fss.2008.06.018 COLLEGE NANME Medical School COLLEGE CODE MEDS Swansea University 2019-07-17T15:07:18.3948786 2012-03-21T16:17:09.0000000 Faculty of Medicine, Health and Life Sciences Swansea University Medical School - Medicine Shang-ming Zhou 0000-0002-0719-9353 1 Francisco Chiclana 2 Robert I. John 3 Jonathan M. Garibaldi 4
title Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
spellingShingle Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
Shang-ming Zhou
title_short Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
title_full Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
title_fullStr Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
title_full_unstemmed Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
title_sort Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers
author_id_str_mv 118578a62021ba8ef61398da0a8750da
author_id_fullname_str_mv 118578a62021ba8ef61398da0a8750da_***_Shang-ming Zhou
author Shang-ming Zhou
author2 Shang-ming Zhou
Francisco Chiclana
Robert I. John
Jonathan M. Garibaldi
format Journal article
container_title Fuzzy Sets and Systems
container_volume 159
container_issue 24
container_start_page 3281
publishDate 2008
institution Swansea University
issn 01650114
doi_str_mv 10.1016/j.fss.2008.06.018
college_str Faculty of Medicine, Health and Life Sciences
hierarchytype
hierarchy_top_id facultyofmedicinehealthandlifesciences
hierarchy_top_title Faculty of Medicine, Health and Life Sciences
hierarchy_parent_id facultyofmedicinehealthandlifesciences
hierarchy_parent_title Faculty of Medicine, Health and Life Sciences
department_str Swansea University Medical School - Medicine{{{_:::_}}}Faculty of Medicine, Health and Life Sciences{{{_:::_}}}Swansea University Medical School - Medicine
document_store_str 0
active_str 0
description The OWA operator proposed by Yager has been widely used to aggregate experts’ opinions or preferences in human decision making. Yager's traditional OWA operator focuses exclusively on the aggregation of crisp numbers. However, experts usually tend to express their opinions or preferences in a very natural way via linguistic terms. These linguistic terms can be modelled or expressed by (type-1) fuzzy sets. In this paper, we define a new type of OWA operator, the type-1 OWA operator that works as an uncertain OWA operator to aggregate type-1 fuzzy sets with type-1 fuzzy weights, which can be used to aggregate the linguistic opinions or preferences in human decision making with linguistic weights. The procedure for performing type-1 OWA operations is analysed. In order to identify the linguistic weights associated to the type-1 OWA operator, type-2 linguistic quantifiers are proposed. The problem of how to derive linguistic weights used in type-1 OWA aggregation given such type of quantifier is solved. Examples are provided to illustrate the proposed concepts.
published_date 2008-12-16T12:18:43Z
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score 11.048042

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