Abstract
Considering the diversity of demands in heterogeneous network selection problem, we combine Choquet integral with traditional aggregation operators in Pythagorean fuzzy environment, inventing kinds of new operators based on Choquet integral, including PFCOWA (as well as RP-PFOWA) operator, PFCWA operator, PFCOWG (as well as RP-PFOWG) operator, and PFCWG operator, which are capable of solving different attributes relationship prioritized situations. Then, transferring relationship and properties of the operators are further discussed. Additionally, to overcome the weakness of traditional method of evaluation, a novel evaluating system of QOE in fuzzy environment is proposed. Based on these works, an example of heterogeneous network selection is given to illustrate the validity of this method.
Highlights
Pythagorean fuzzy set (PFS) is an extension of intuitionistic fuzzy set (IFS) [1,2,3] proposed by Yager [4,5,6]
Considering the diversity of demands in heterogeneous network selection problem, we combine Choquet integral with traditional aggregation operators in Pythagorean fuzzy environment, inventing kinds of new operators based on Choquet integral, including Pythagorean fuzzy Choquet order weighted averaging (PFCOWA) operator, Pythagorean fuzzy Choquet weighted averaging (PFCWA) operator, Pythagorean fuzzy Choquet order weighted geometric (PFCOWG) operator, and Pythagorean fuzzy Choquet weighted geometric (PFCWG) operator, which are capable of solving different attributes relationship prioritized situations
This paper further proposes some Pythagorean fuzzy operators, including PFCOWA operator, PFCWA operator, and PFCWG operator, based on our previous work, and unifies their designations and properties, which are capable of solving different attributes relationship prioritized situations
Summary
Pythagorean fuzzy set (PFS) is an extension of intuitionistic fuzzy set (IFS) [1,2,3] proposed by Yager [4,5,6]. Attributes put into consideration include throughput, delay, jitter, and cost Those are decisive factors of network QOE (quality of experience), which has arouse the attention of the academic community as well as becoming one of the major evaluation indicators on industry. This paper proposes a brand-new QOE evaluation system based on Pythagorean fuzzy numbers combined with the heterogeneous network environment and the characteristics of services. This paper further proposes some Pythagorean fuzzy operators, including PFCOWA operator, PFCWA operator, and PFCWG operator, based on our previous work, and unifies their designations and properties, which are capable of solving different attributes relationship prioritized situations. Based on the proposed evaluation system, different operators are applied in aggregating information for MADM problems on network selection
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