On Developing Interval-Valued Dual Hesitant Fuzzy Bonferroni Mean Aggregation Operator and Their Application to Multicriteria Decision Making

2019 ◽  
pp. 27-46 ◽  
Author(s):  
Arun Sarkar ◽  
Animesh Biswas
Keyword(s):  
Decision Making ◽  
Multicriteria Decision Making ◽  
Aggregation Operator ◽  
Multicriteria Decision ◽  
Bonferroni Mean ◽  
Interval Valued

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

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Raja Noshad Jamil ◽  
Tabasam Rashid
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Energy Policy ◽  
Multicriteria Decision Making ◽  
Hesitant Fuzzy Sets ◽  
Multicriteria Decision ◽  
Bonferroni Mean ◽  
Special Cases ◽  
Geometric Bonferroni Mean

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.

scholarly journals An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Fatma Dammak ◽  
Leila Baccour ◽  
Adel M. Alimi
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Multicriteria Decision Making ◽  
Possibility Theory ◽  
Intuitionistic Fuzzy Sets ◽  
Decision Matrix ◽  
Multicriteria Decision ◽  
Intuitionistic Fuzzy ◽  
Exhaustive Study ◽  
Interval Valued

This work is interested in showing the importance of possibility theory in multicriteria decision making (MCDM). Thus, we apply some possibility measures from literature to the MCDM method using interval-valued intuitionistic fuzzy sets (IVIFSs). These measures are applied to a decision matrix after being transformed with aggregation operators. The results are compared between each other and concluding remarks are drawn.

ORDERINGS FOR CLASSES OF AGGREGATION OPERATORS

1996 ◽  
Vol 04 (02) ◽  
pp. 145-156 ◽  
Author(s):  
L. BASILE ◽  
L. D’APUZZO
Keyword(s):  
Decision Making ◽  
Weighting Function ◽  
Multicriteria Decision Making ◽  
Aggregation Operator ◽  
Aggregation Operators ◽  
Monotonic Function ◽  
Weighting Functions ◽  
Multicriteria Decision ◽  
Monotonic Functions

Some procedures for synthesizing values of judgements in multicriteria decision making have been provided by several authors. The functionals of synthesis they consider are frequently means. The most general form of these operators involves both a weighting function w and a continuous and strictly monotonic function φ. Our aim is to analyze the behaviour of the aggregation operator Fωφ depending on w and φ. To this purpose we introduce a pre-ordering relation on the set W of weighting functions and on the set Φ of continuous and strictly monotonic functions, which allows us to compare the synthesizing functionals.

scholarly journals Hesitant Fuzzy Linguistic Multicriteria Decision-Making Method Based on Generalized Prioritized Aggregation Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-16 ◽  
Author(s):  
Jia-ting Wu ◽  
Jian-qiang Wang ◽  
Jing Wang ◽  
Hong-yu Zhang ◽  
Xiao-hong Chen
Keyword(s):  
Decision Making ◽  
Multicriteria Decision Making ◽  
Comparison Method ◽  
Aggregation Operator ◽  
New Approach ◽  
Multicriteria Decision ◽  
Scale Functions ◽  
Prioritized Aggregation Operator ◽  
Prioritized Aggregation Operators ◽  
Fuzzy Linguistic

Based on linguistic term sets and hesitant fuzzy sets, the concept of hesitant fuzzy linguistic sets was introduced. The focus of this paper is the multicriteria decision-making (MCDM) problems in which the criteria are in different priority levels and the criteria values take the form of hesitant fuzzy linguistic numbers (HFLNs). A new approach to solving these problems is proposed, which is based on the generalized prioritized aggregation operator of HFLNs. Firstly, the new operations and comparison method for HFLNs are provided and some linguistic scale functions are applied. Subsequently, two prioritized aggregation operators and a generalized prioritized aggregation operator of HFLNs are developed and applied to MCDM problems. Finally, an illustrative example is given to illustrate the effectiveness and feasibility of the proposed method, which are then compared to the existing approach.

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