Extension of WASPAS with Spherical Fuzzy Sets

Kutlu Gundogdu, Fatma; Kahraman, Cengiz

doi:10.15388/Informatica.2019.206

Informatica

Extension of WASPAS with Spherical Fuzzy Sets

Volume 30, Issue 2 (2019), pp. 269–292

Fatma Kutlu Gundogdu Cengiz Kahraman

https://doi.org/10.15388/Informatica.2019.206

Pub. online: 1 January 2019 Type: Research Article

Open Access

Received
1 November 2018

Accepted
1 March 2019

Published
1 January 2019

Abstract

The 3D extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and neutrosophic sets (NS) aim to describe experts’ judgments more informatively and explicitly. In this paper, generalized three dimensional spherical fuzzy sets are presented with their arithmetic, aggregation, and defuzzification operations. Weighted Aggregated Sum Product ASsessment (WASPAS) is a combination of two well-known multi-criteria decision-making (MCDM) methods, which are weighted sum model (WSM) and weighted product model (WPM). The aim of this paper is to extend traditional WASPAS method to spherical fuzzy WASPAS (SF-WASPAS) method and to show its application with an industrial robot selection problem. Additionally, we present comparative and sensitivity analyses to show the validity and robustness of the given decisions.

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Biographies

Kutlu Gundogdu Fatma

f.kutlu@iku.edu.tr

F. Kutlu Gundogdu is a research assistant at Istanbul Kultur University in the Industrial Engineering Department. Her research areas are quality control and management, statistical decision-making, multi-criteria decision-making, spherical fuzzy sets, fuzzy optimization and fuzzy decision-making. She published some journal papers and conference papers in the mentioned fields. She is the referee of some international journals.

Kahraman Cengiz

kahramanc@itu.edu.tr

C. Kahraman is a full professor at Istanbul Technical University. His research areas are engineering economics, quality control and management, statistical decision-making, multi-criteria decision-making and fuzzy decision making. He published about 2420 journal papers and about 160 conference papers. He became the guest editor of many international journals and the editor of many international books from Springer and Atlantis Press. He is the member of editorial boards of 20 international journals. He organized various international conferences. He was the vice dean of ITU Management Faculty between 2004–2007 and the head of ITU Industrial Engineering Department between 2010–2013.

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Keywords

spherical fuzzy sets multicriteria decision making WASPAS WPM WSM spherical distance industrial robot selection

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