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Título
Parameter reduction analysis under interval-valued m-polar fuzzy soft information
Autor(es)
Materia
Soft set
IVmFSS
Parameter reduction
Decision-making
Algorithm
Clasificación UNESCO
12 Matemáticas
1203.02 Lenguajes Algorítmicos
1201.02 Teoría Axiomática de Conjuntos
Fecha de publicación
2021
Editor
Springerlink
Citación
Akram, M., Ali, G. & Alcantud, J.C.R. (2021). Parameter reduction analysis under interval-valued m-polar fuzzy soft information. Artif Intell Rev 54, 5541–5582 . https://doi.org/10.1007/s10462-021-10027-x
Resumen
[EN] This paper formalizes a novel model that is able to use both interval representations, parameterizations, partial memberships and multi-polarity. These are differing modalities of uncertain knowledge that are supported by many models in the literature. The new structure that embraces all these features simultaneously is called interval-valued multi-polar fuzzy soft set (IVmFSS, for short). An enhanced combination of interval-valued m-polar fuzzy (IVmF) sets and soft sets produces this model. As such, the theory of IVmFSSs constitutes both an interval-valued multipolar-fuzzy generalization of soft set theory; a multipolar generalization of interval-valued fuzzy soft set theory; and an interval-valued generalization of multi-polar fuzzy set theory. Some fundamental operations for IVmFSSs, including intersection, union, complement, “OR”, “AND”, are explored and investigated through examples. An algorithm is developed to solve decision-making problems having data in interval-valued m-polar fuzzy soft form. It is applied to two numerical examples. In addition, three parameter reduction approaches and their algorithmic formulation are proposed for IVmFSSs. They are respectively called parameter reduction based on optimal choice, rank based parameter reduction, and normal parameter reduction. Moreover, these outcomes are compared with existing interval-valued fuzzy methods; relatedly, a comparative analysis among reduction approaches is investigated. Two real case studies for the selection of best site for an airport construction and best rotavator are studied.
URI
ISSN
0269-2821
DOI
10.1007/s10462-021-10027-x
Versión del editor
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Patrocinador
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE