On the concept of immediate probabilities

Yager, Ronald R.; Engemann, Kurt J.; Filev, Dimitar

doi:10.1002/int.4550100403

Cited by 119 publications

(58 citation statements)

References 11 publications

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“…Now, we can also develop the IPIVIFOWAD operator by applying IVIF information, individual distance, and immediate probability (IP) [43].…”

Section: Definitionmentioning

confidence: 99%

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

Liu

2018

Mathematical Problems in Engineering

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The goal of this work is to develop a novel decision-making method which can solve some complex decision problems that include the following three-aspect information: (1) information represented in the form of interval-valued intuitionistic fuzzy values (IVIFVs) not only intuitionistic fuzzy values (IFVs), (2) the probability information and the weighted information, and (3) the importance degree of each concept in the process of decision-making. Firstly, by integrating OWA operator, probabilistic weight (PW), and individual distance of two IVIFNs in the same formulation, we introduce two new distance operators named PIVIFOWAD operator and IPIVIFOWAD operator, respectively. Secondly, satisfaction degree of an alternative is proposed based on the positive ideal IVIFS and the negative ideal IVIFS and applied to MCDM. Finally, we use an illustrative example to show the feasibility and validity of the new method by comparing with the other existing methods.

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“…Now, we can also develop the IPIVIFOWAD operator by applying IVIF information, individual distance, and immediate probability (IP) [43].…”

Section: Definitionmentioning

confidence: 99%

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

Liu

2018

Mathematical Problems in Engineering

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“…The first is the weighted-average method, which aggregates the information by using different importance degrees of the arguments [3,4]. The second is the probabilistic aggregation method, which unifies the ordered weighted averaging (OWA) operator and the corresponding probabilities by incorporating the importance degree of each case in the aggregation process [5,6]. The third is the deviation aggregation method, which minimizes the deviation between the aggregation result and evaluation information characterized by distance metrics or penalty functions [7,8].…”

Section: Introductionmentioning

confidence: 99%

Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making

Gao

Liu

2017

Symmetry

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Abstract:To characterize the influence of decision makers' psychological factors on the group decision process, this paper develops a new class of aggregation operators based on reference-dependent utility functions (RUs) in multi-attribute group decision analysis. We consider two types of RUs: S-shaped, representing decision makers who are risk-seeking for relative losses, and non-S-shaped, representing those that are risk-averse for relative losses. Based on these RUs, we establish two new classes of reference-dependent aggregation operators; we study their properties and show that their generality covers a number of existing aggregation operators. To determine the optimal weights for these aggregation operators, we construct an attribute deviation weight model and a decision maker (DM) deviation weight model. Furthermore, we develop a new multi-attribute group decision-making (MAGDM) approach based on these RU aggregation operators and weight models. Finally, numerical examples are given to illustrate the application of the approach.

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“…It aggregates the information by using probabilities in the analysis. It has also been applied in a lot of applications [8][9]26].…”

Section: Introductionmentioning

confidence: 99%

The Uncertain Generalized Probabilistic Weighted Average and its Application in the Theory of Expertons

Merigó¹,

Casanovas²

2011

Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)

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We introduce the uncertain generalized probabilistic weighted averaging (UGPWA) operator. It is an aggregation operator that unifies the probability and the weighted average in the same formulation considering the degree of importance that each concept has in the aggregation. Moreover, it is able to assess uncertain environments that can not be assessed with exact numbers but it is possible to use interval numbers. Thus, we can analyze imprecise information considering the minimum and the maximum result that may occur. We analyze the applicability of this new approach in a multiperson decision making problem by using the theory of expertons.

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On the concept of immediate probabilities

Cited by 119 publications

References 11 publications

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators

Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making

The Uncertain Generalized Probabilistic Weighted Average and its Application in the Theory of Expertons

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