A new decision making method using interval-valued intuitionistic fuzzy cosine similarity measure based on the weighted reduced Intuitionistic fuzzy sets
Author
dc.contributor.author
Verma, Rajkumar
Author
dc.contributor.author
Merigó Lindahl, José
Admission date
dc.date.accessioned
2021-01-26T21:48:09Z
Available date
dc.date.available
2021-01-26T21:48:09Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Informatica, 2020, Vol. 31, No. 2, 399–433
es_ES
Identifier
dc.identifier.other
10.15388/20-INFOR405
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/178344
Abstract
dc.description.abstract
In this paper, we develop a new flexible method for interval-valued intuitionistic fuzzy decision-making problems with cosine similarity measure. We first introduce the interval-valued intuitionistic fuzzy cosine similarity measure based on the notion of the weighted reduced intuitionistic fuzzy sets. With this cosine similarity measure, we are able to accommodate the attitudinal character of decision-makers in the similarity measuring process. We study some of its essential properties and propose the weighted interval-valued intuitionistic fuzzy cosine similarity measure.
Further, the work uses the idea of GOWA operator to develop the ordered weighted interval-valued intuitionistic fuzzy cosine similarity (OWIVIFCS) measure based on the weighted reduced intuitionistic fuzzy sets. The main advantage of the OWIVIFCS measure is that it provides a parameterized family of cosine similarity measures for interval-valued intuitionistic fuzzy sets and considers different scenarios depending on the attitude of the decision-makers. The measure is demonstrated to satisfy some essential properties, which prepare the ground for applications in different areas. In addition, we define the quasi-ordered weighted interval-valued intuitionistic fuzzy cosine similarity (quasi-OWIVIFCS) measure. It includes a wide range of particular cases such as OWIVIFCS measure, trigonometric-OWIVIFCS measure, exponential-OWIVIFCS measure, radical-OWIVIFCS measure. Finally, the study uses the OWIVIFCS measure to develop a new decision-making method to solve real-world decision problems with interval-valued intuitionistic fuzzy information. A real-life numerical example of contractor selection is also given to demonstrate the effectiveness of the developed approach in solving real-life problems.
es_ES
Patrocinador
dc.description.sponsorship
Chilean Government (Conicyt) through the Fondecyt Postdoctoral Program
3170556
es_ES
Lenguage
dc.language.iso
en
es_ES
Publisher
dc.publisher
Institute of Mathematics and Informatics of Vilnius University
A new decision making method using interval-valued intuitionistic fuzzy cosine similarity measure based on the weighted reduced Intuitionistic fuzzy sets