Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection

In many countries, green products play a critical role in energy recycling and environment protection. The selection of green products can be regarded as a multiple attribute decision making (MADM) problem. Due to the complexity and uncertainty of the problem, decision makers may give their personal...

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Main Authors: Bing Han, Zhifu Tao, Huayou Chen, Ligang Zhou
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/4620310
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spelling doaj-946b42275f3f418ab35422a69c75ac922020-11-24T22:31:23ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/46203104620310Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products SelectionBing Han0Zhifu Tao1Huayou Chen2Ligang Zhou3School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, ChinaSchool of Economics, Anhui University, Hefei, Anhui, 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, ChinaIn many countries, green products play a critical role in energy recycling and environment protection. The selection of green products can be regarded as a multiple attribute decision making (MADM) problem. Due to the complexity and uncertainty of the problem, decision makers may give their personal preference values to different attributes of alternatives by intuitionistic unbalanced linguistic term sets. The main purpose of this paper is to put forward a new generalized multiple attribute group decision making (GMAGDM) approach based on the intuitionistic unbalanced linguistic dependent weighted generalized Heronian mean (IULDWGHM) operator and the intuitionistic unbalanced linguistic dependent weighted generalized geometric Heronian mean (IULDWGGHM) operator. The proposed method can not only relieve the influence of unfair assessments, but also consider the interaction effects of attributes. Furthermore, the appropriate parameter values and operators can be selected to meet the different risk preference of decision makers and actual requirements. Finally, a green products selection case is given to illustrate the effectiveness and universality of the developed approach.http://dx.doi.org/10.1155/2018/4620310
collection DOAJ
language English
format Article
sources DOAJ
author Bing Han
Zhifu Tao
Huayou Chen
Ligang Zhou
spellingShingle Bing Han
Zhifu Tao
Huayou Chen
Ligang Zhou
Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
Mathematical Problems in Engineering
author_facet Bing Han
Zhifu Tao
Huayou Chen
Ligang Zhou
author_sort Bing Han
title Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
title_short Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
title_full Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
title_fullStr Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
title_full_unstemmed Intuitionistic Unbalanced Linguistic Generalized Multiple Attribute Group Decision Making and Its Application to Green Products Selection
title_sort intuitionistic unbalanced linguistic generalized multiple attribute group decision making and its application to green products selection
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description In many countries, green products play a critical role in energy recycling and environment protection. The selection of green products can be regarded as a multiple attribute decision making (MADM) problem. Due to the complexity and uncertainty of the problem, decision makers may give their personal preference values to different attributes of alternatives by intuitionistic unbalanced linguistic term sets. The main purpose of this paper is to put forward a new generalized multiple attribute group decision making (GMAGDM) approach based on the intuitionistic unbalanced linguistic dependent weighted generalized Heronian mean (IULDWGHM) operator and the intuitionistic unbalanced linguistic dependent weighted generalized geometric Heronian mean (IULDWGGHM) operator. The proposed method can not only relieve the influence of unfair assessments, but also consider the interaction effects of attributes. Furthermore, the appropriate parameter values and operators can be selected to meet the different risk preference of decision makers and actual requirements. Finally, a green products selection case is given to illustrate the effectiveness and universality of the developed approach.
url http://dx.doi.org/10.1155/2018/4620310
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AT zhifutao intuitionisticunbalancedlinguisticgeneralizedmultipleattributegroupdecisionmakinganditsapplicationtogreenproductsselection
AT huayouchen intuitionisticunbalancedlinguisticgeneralizedmultipleattributegroupdecisionmakinganditsapplicationtogreenproductsselection
AT ligangzhou intuitionisticunbalancedlinguisticgeneralizedmultipleattributegroupdecisionmakinganditsapplicationtogreenproductsselection
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