A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making

Zeng, Shouzhen; Mu, Zhimin; Baležentis, Tomas

doi:10.1002/int.21953

Cited by 78 publications

(54 citation statements)

References 25 publications

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“…As one of the most widely used operators, the IOWA operator was initially defined by Yager and Filev, in which the reordering step is performed by the order‐inducing variables, rather than depending on the arguments’ values. For the 30 years since its appearance, the IOWA operator has received increasing attention from researchers around the world . Its definition is shown as follows.…”

Section: Preliminariesmentioning

confidence: 99%

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A new distance measure based on the weighted induced method and its application to Pythagorean fuzzy multiple attribute group decision making

Zeng

Merigó

et al. 2019

Int J Intell Syst

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This paper investigates a novel induced ordered weighted averaging (IOWA) distance operator and its application in Pythagorean fuzzy (PF) multiattribute group decision making (MAGDM). First, a new induced aggregated distance operator named the weighted IOWA distance (WIOWAD) operator is developed, which differs from the existing methods in that it considers the dual roles of the order‐inducing variables at the same time. In other words, in addition to inducing the order of the arguments, the order‐inducing variables of the WIOWAD operator also plays an important role in moderating the associated weight vector. Some useful properties and different families of the WIOWAD are also discussed. Then, an extension of the WIOWAD within the PF situation is presented, thus obtaining the PFWIOWAD operator. Furthermore, a MAGDM method based on the PFWIOWAD is introduced. Finally, the practicality and effectiveness of proposed approach are illustrated in a research and development project selection problem.

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Section: Preliminariesmentioning

confidence: 99%

“…For the 30 years since its appearance, the IOWA operator has received increasing attention from researchers around the world. [23][24][25][26][27][28] Its definition is shown as follows. (1)…”

Section: Preliminariesmentioning

confidence: 99%

A new distance measure based on the weighted induced method and its application to Pythagorean fuzzy multiple attribute group decision making

Zeng

Merigó

et al. 2019

Int J Intell Syst

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“…Moreover, by manipulating the approach commonly used in the IOWA‐related literature to analyze the weight vector W , we could develop several other WIFIOWAWA operators for specific applications …”

Section: Wifiowawa Operatormentioning

confidence: 99%

A novel induced aggregation method for intuitionistic fuzzy set and its application in multiple attribute group decision making

Zeng

Llopis-Albert

Zhang

2018

Int. J. Intell. Syst.

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In this paper, by unifying the induced ordered weighted averaging (IOWA) and the weighted average, a novel induced aggregation method for intuitionistic fuzzy set is investigated. More specifically, a new intuitionistic fuzzy (IF) induced aggregation operator called weighted intuitionistic fuzzy IOWA weighted average (WIFIOWAWA) operator is introduced. A significant advantage of the WIFIOWAWA operator is that it can eliminate the drawback of the existing operators by the dual roles of its order‐inducing variables. In addition, some of its desired properties and families are explored. Furthermore, using the proposed operator, a procedure is developed to solve multiple attribute group decision making problems in the case of IF situation. Finally, an illustrative example is provided to demonstrate the effectiveness and practicality of the developed method.

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“…The shortest path method is no longer applicable. In order to solve this problem, the extra decision module is introduced to evacuation simulation [15,19,20]. The decision module confirms the current subgoal according to the current status of the virtual human and then searches for a shortest path to the target.…”

Section: Related Workmentioning

confidence: 99%

An Evacuation Route Model of Crowd Based on Emotion and Geodesic

Liu

Sun

et al. 2018

Mathematical Problems in Engineering

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Making unconventional emergent plan for dense crowd is one of the critical issues of evacuation simulations. In order to make the behavior of crowd more believable, we present a real-time evacuation route approach based on emotion and geodesic under the influence of individual emotion and multi-hazard circumstances. The proposed emotion model can reflect the dynamic process of individual in group on three factors: individual emotion, perilous field, and crowd emotion. Specifically, we first convert the evacuation scene to Delaunay triangulation representations. Then, we use the optimization-driven geodesic approach to calculate the best evacuation path with user-specified geometric constraints, such as crowd density, obstacle information, and perilous field. Finally, the Smooth Particle Hydrodynamics method is used for local avoidance of collisions with nearby agents in real-time simulation. Extensive experimental results show that our algorithm is efficient and well suited for real-time simulations of crowd evacuation.

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A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making

Cited by 78 publications

References 25 publications

A new distance measure based on the weighted induced method and its application to Pythagorean fuzzy multiple attribute group decision making

A new distance measure based on the weighted induced method and its application to Pythagorean fuzzy multiple attribute group decision making

A novel induced aggregation method for intuitionistic fuzzy set and its application in multiple attribute group decision making

An Evacuation Route Model of Crowd Based on Emotion and Geodesic

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