An Extended TODIM Method Based on Interval-Valued Pythagorean Hesitant Fuzzy Sets and Its Utilization in Green Shipping

2021 ◽  
pp. 516-529
Author(s):  
Xueqin Liu ◽  
Junzhong Bao ◽  
Yanli Meng ◽  
Lidong Wang
Keyword(s):  
Fuzzy Sets ◽  
Hesitant Fuzzy Sets ◽  
Todim Method ◽  
Interval Valued ◽  
Green Shipping

scholarly journals Correlation Coefficients of Interval-Valued Pythagorean Hesitant Fuzzy Sets and Their Applications

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 9271-9286
Author(s):  
Tingting Zheng ◽  
Maoyin Zhang ◽  
Longmei Li ◽  
Qiuyue Wu ◽  
Ligang Zhou
Keyword(s):  
Fuzzy Sets ◽  
Correlation Coefficients ◽  
Hesitant Fuzzy Sets ◽  
Interval Valued

On Extending Power-Geometric Operators to Interval-Valued Hesitant Fuzzy Sets and Their Applications to Group Decision Making

2016 ◽  
Vol 15 (05) ◽  
pp. 1055-1114 ◽  
Author(s):  
Sheng-Hua Xiong ◽  
Zhen-Song Chen ◽  
Yan-Lai Li ◽  
Kwai-Sang Chin
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Group Decision Making ◽  
Group Decision ◽  
Aggregation Operators ◽  
Decision Makers ◽  
Individual Decision ◽  
Hesitant Fuzzy Sets ◽  
Variable Power ◽  
Interval Valued

Developing aggregation operators for interval-valued hesitant fuzzy sets (IVHFSs) is a technological task we are faced with, because they are specifically important in many problems related to the fusion of interval-valued hesitant fuzzy information. This paper develops several novel kinds of power geometric operators, which are referred to as variable power geometric operators, and extends them to interval-valued hesitant fuzzy environments. A series of generalized interval-valued hesitant fuzzy power geometric (GIVHFG) operators are also proposed to aggregate the IVHFSs to model mandatory requirements. One of the important characteristics of these operators is that objective weights of input arguments are variable with the change of a non-negative parameter. By adjusting the exact value of the parameter, the influence caused by some “false” or “biased” arguments can be reduced. We demonstrate some desirable and useful properties of the proposed aggregation operators and utilize them to develop techniques for multiple criteria group decision making with IVHFSs considering the heterogeneous opinions among individual decision makers. Furthermore, we propose an entropy weights-based fitting approach for objectively obtaining the appropriate value of the parameter. Numerical examples are provided to illustrate the effectiveness of the proposed techniques.

scholarly journals Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
M. Sarwar Sindhu ◽  
Tabasam Rashid ◽  
Agha Kashif ◽  
Juan Luis García Guirao
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Real Life ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Decision Makers ◽  
Occurrence Probability ◽  
Hesitant Fuzzy Sets ◽  
Life Problems ◽  
Interval Valued

Probabilistic interval-valued hesitant fuzzy sets (PIVHFSs) are an extension of interval-valued hesitant fuzzy sets (IVHFSs) in which each hesitant interval value is considered along with its occurrence probability. These assigned probabilities give more details about the level of agreeness or disagreeness. PIVHFSs describe the belonging degrees in the form of interval along with probabilities and thereby provide more information and can help the decision makers (DMs) to obtain precise, rational, and consistent decision consequences than IVHFSs, as the correspondence of unpredictability and inaccuracy broadly presents in real life problems due to which experts are confused to assign the weights to the criteria. In order to cope with this problem, we construct the linear programming (LP) methodology to find the exact values of the weights for the criteria. Furthermore these weights are employed in the aggregation operators of PIVHFSs recently developed. Finally, the LP methodology and the actions are then applied on a certain multiple criteria decision making (MCDM) problem and a comparative analysis is given at the end.

NEW GENERALIZATIONS OF HESITANT AND INTERVAL-VALUED FUZZY IDEALS OF SEMIGROUPS

2021 ◽  
Vol 10 (4) ◽  
pp. 2199-2212
Author(s):  
U. Jittburus ◽  
P. Julatha
Keyword(s):  
Fuzzy Sets ◽  
General Notion ◽  
Hesitant Fuzzy Sets ◽  
Interval Valued

In this paper, we introduce the notion of $\sup$-hesitant fuzzy ideals of semigroups, which is the general notion of hesitant fuzzy ideals and interval-valued fuzzy ideals. In addition, $\sup$-hesitant fuzzy ideals are characterized in terms of sets, fuzzy sets, hesitant fuzzy sets and interval-valued fuzzy sets. Finally, $\sup$-hesitant fuzzy translations and $\sup$-hesitant fuzzy extensions of $\sup$-hesitant fuzzy ideals of semigoups are discussed, and their relations are investigated.

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