Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society

Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society

Dual hesitant fuzzy geometric Bonferroni mean is defined for dual hesitant fuzzy sets. Different properties of dual hesitant fuzzy geometric Bonferroni mean are discussed. Some special cases are studied in detail for dual hesitant fuzzy geometric Bonferroni mean. In addition, dual hesitant fuzzy wei...

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Bibliographic Details
Main Authors: Raja Noshad Jamil, Tabasam Rashid
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/4541982
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spelling doaj-f5b20aa3c49845ee828adb80751fc6d52020-11-24T23:05:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/45419824541982Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the SocietyRaja Noshad Jamil0Tabasam Rashid1University of Management and Technology, Lahore 54770, PakistanUniversity of Management and Technology, Lahore 54770, PakistanDual hesitant fuzzy geometric Bonferroni mean is defined for dual hesitant fuzzy sets. Different properties of dual hesitant fuzzy geometric Bonferroni mean are discussed. Some special cases are studied in detail for dual hesitant fuzzy geometric Bonferroni mean. In addition, dual hesitant fuzzy weighted geometric Bonferroni mean and dual hesitant fuzzy Choquet geometric Bonferroni mean are proposed. A multicriteria decision-making method is discussed to find the best alternative among different alternatives by using proposed aggregated operators and an illustrated example is also given to understand our proposal.http://dx.doi.org/10.1155/2018/4541982
collection DOAJ
language English
format Article
sources DOAJ
author Raja Noshad Jamil
Tabasam Rashid
spellingShingle Raja Noshad Jamil
Tabasam Rashid
Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
Mathematical Problems in Engineering
author_facet Raja Noshad Jamil
Tabasam Rashid
author_sort Raja Noshad Jamil
title Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
title_short Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
title_full Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
title_fullStr Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
title_full_unstemmed Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society
title_sort application of dual hesitant fuzzy geometric bonferroni mean operators in deciding an energy policy for the society
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description Dual hesitant fuzzy geometric Bonferroni mean is defined for dual hesitant fuzzy sets. Different properties of dual hesitant fuzzy geometric Bonferroni mean are discussed. Some special cases are studied in detail for dual hesitant fuzzy geometric Bonferroni mean. In addition, dual hesitant fuzzy weighted geometric Bonferroni mean and dual hesitant fuzzy Choquet geometric Bonferroni mean are proposed. A multicriteria decision-making method is discussed to find the best alternative among different alternatives by using proposed aggregated operators and an illustrated example is also given to understand our proposal.
url http://dx.doi.org/10.1155/2018/4541982
work_keys_str_mv AT rajanoshadjamil applicationofdualhesitantfuzzygeometricbonferronimeanoperatorsindecidinganenergypolicyforthesociety
AT tabasamrashid applicationofdualhesitantfuzzygeometricbonferronimeanoperatorsindecidinganenergypolicyforthesociety
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