A Multicriteria Selection Framework for Wireless Communication Infrastructure with Interval-Valued Pythagorean Fuzzy Assessment

Shanshan Qiu,Dan Fu,Xiaofang Deng,Wei Quan

doi:10.1155/2021/9913737

Abstract

In recent years, interval-valued Pythagorean fuzzy number is playing a more and more important role in decision management. It is a more effective and powerful tool to handle fuzzy information in decision problems. The multicriteria decision-making theory has been widely used in solving practical problems, such as the risk assessment of financial investment, engineering and construction, medical and health care, and information security. The main purpose of this paper is to apply a new interval-valued Pythagorean fuzzy decision-making method to practice and to analyze and solve the problem of wireless communication infrastructure. In this paper, a new interval-valued Pythagorean fuzzy ranking method, extending scope of application of the VIKOR method to interval-valued Pythagorean fuzzy set, is proposed. In order to adapt to actual needs, subjective and objective weights are combined to solve decision-making problems to enhance its practicality, validity, and effectiveness. An example of wireless communication infrastructure problem is provided to illustrate the rationality of this method and verify its advantages.

Highlights

In real life, people often cannot describe things accurately
If we describe a problem as follows: the definite metrics is 0.6, indefinite metrics is 0.8, because 0:6 + 0:8 > 1, which is beyond the representation of intuitionistic fuzzy sets, but the problem can be well described by Pythagoras fuzzy set
Based on the above considerations, we extend the ranking method to interval-valued Pythagorean fuzzy numbers to expand the available range of the ranking method to solve more practical problems

Summary

Introduction

People often cannot describe things accurately. Words like “almost,” “probably,” and other vague adjectives are often used to do the description. In 1965, Zadeh developed the mathematical expression of fuzzy things, called fuzzy set theory [1] (FS); it is widely used to deal with uncertain information in decision-making process. It is an important method for fuzzy decision-making. There still are cases that cannot be handled by using intuitionistic fuzzy sets, such as u + v > 1 To solve this problem, Yager [3] introduced the concept of Pythagorean fuzzy set, stipulating that the sum of the square of membership and nonmembership of Pythagorean fuzzy set is less than or equal to 1. Pythagorean fuzzy set extended its expression range greatly on the basis of intuitionistic fuzzy set It helped fuzzy decision-making to solve more practical problems and enhanced its practicability greatly. In 2016, Zhang [4] raised the concept of interval-

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Methods

Conclusion