945 research outputs found
Circular Pythagorean fuzzy sets and applications to multi-criteria decision making
In this paper, we introduce the concept of circular Pythagorean fuzzy set
(value) (C-PFS(V)) as a new generalization of both circular intuitionistic
fuzzy sets (C-IFSs) proposed by Atannassov and Pythagorean fuzzy sets (PFSs)
proposed by Yager. A circular Pythagorean fuzzy set is represented by a circle
that represents the membership degree and the non-membership degree and whose
center consists of non-negative real numbers and with the condition
. A C-PFS models the fuzziness of the uncertain information
more properly thanks to its structure that allows modelling the information
with points of a circle of a certain center and a radius. Therefore, a C-PFS
lets decision makers to evaluate objects in a larger and more flexible region
and thus more sensitive decisions can be made. After defining the concept of
C-PFS we define some fundamental set operations between C-PFSs and propose some
algebraic operations between C-PFVs via general -norms and -conorms. By
utilizing these algebraic operations, we introduce some weighted aggregation
operators to transform input values represented by C-PFVs to a single output
value. Then to determine the degree of similarity between C-PFVs we define a
cosine similarity measure based on radius. Furthermore, we develop a method to
transform a collection of Pythagorean fuzzy values to a PFS. Finally, a method
is given to solve multi-criteria decision making problems in circular
Pythagorean fuzzy environment and the proposed method is practiced to a problem
about selecting the best photovoltaic cell from the literature. We also study
the comparison analysis and time complexity of the proposed method
The generalized dice similarity measures for multiple attribute decision making with hesitant fuzzy linguistic information
In this paper, we shall present some novel Dice similarity measures of hesitant fuzzy linguistic term sets and the generalized Dice similarity measures of hesitant fuzzy linguistic term sets and indicate that the Dice similarity measures and asymmetric measures (projection measures) are the special cases of the generalized Dice similarity measures in some parameter values. Then, we propose the generalized Dice similarity measures-based multiple attribute decision making models with hesitant fuzzy linguistic term sets. Finally, a practical example concerning the evaluation of the quality of movies is given to illustrate the applicability and advantage of the proposed generalized Dice similarity measure
The generalized dice similarity measures for multiple attribute decision making with hesitant fuzzy linguistic information
In this paper, we shall present some novel Dice similarity measures of hesitant fuzzy linguistic term sets and the generalized Dice similarity measures of hesitant fuzzy linguistic term sets and indicate that the Dice similarity measures and asymmetric measures (projection measures) are the special cases of the generalized Dice similarity measures in some parameter values. Then, we propose the generalized Dice similarity measures-based multiple attribute decision making models with hesitant fuzzy linguistic term sets. Finally, a practical example concerning the evaluation of the quality of movies is given to illustrate the applicability and advantage of the proposed generalized Dice similarity measure
Novel possibility spherical fuzzy soft set model and its application for a decision making
We talk about possibility spherical fuzzy soft set (shortly PSFS set) has much stronger ability than possibility Pythagorean fuzzy soft set (shortly PPFS set) and intuitionistic fuzzy soft set. The PSFS soft set is a generalization of PPFS set and soft set. Here we talk through some operations consisting of complement, union, intersection, AND and OR. We verify that the De Morgan’s laws, associate laws and distributive laws are satisfied in the case of PSFS sets. Also we discuss comparative analysis for the soft set model under the scheme of PSFS sets. Finally, an illustrative example is mentioned for the soft set model using PSFS set.Publisher's Versio
Multi Criteria Decision Making menggunakan Operator Group Generalized Interval Value Pythagorean Fuzzy
Multi Criteria Decision Making (MCDM) adalah proses penentuan solusi terbaik dalam suatu masalah berdasarkan kriteria yang telah ditentukan. Dalam berbagai kasus, pengambil keputusan sulit untuk menyatakan pendapatnya dalam angka yang tegas. Oleh karena itu, penggunaan bilangan fuzzy dianggap lebih efisien. Salah satu bilangan fuzzy yang digunakan dalam kasus MCDM adalah Interval Value Pythagorean Fuzzy Number (IVPFN). Informasi fuzzy pada kasus MCDM dinyatakan dalam IVPFN. Akurasi informasi fuzzy dinilai oleh Group Generalized Parameter (GGP) yang dinyatakan dengan cara yang sama seperti informasi fuzzy, yaitu dengan IVPFN. Informasi fuzzy dan GGP selanjutnya diagregasi menggunakan operator Group Generalized Interval Value Pythagorean Fuzzy Weighted Average (GGIVPFWA) dan Group Generalized Interval Value Pythagorean Fuzzy Weighted Geometric (GGIVPFWG). Kedua operator tersebut bertujuan untuk menemukan alternatif terbaik yang dapat dipilih. Hasil keputusan dari operator GGIVPFWA dan GGIVPFWG selanjutnya diverifikasi menggunakan weighted similarity measure dan menunjukkan bahwa kedua operator tersebut dapat menyelesaikan masalah MCDM secara efektif dan akura
Pythagorean 2-tuple linguistic power aggregation operators in multiple attribute decision making
In this paper, we investigate the multiple attribute decision making
problems with Pythagorean 2-tuple linguistic information.
Then, we utilize power average and power geometric operations
to develop some Pythagorean 2-tuple linguistic power aggregation
operators: Pythagorean 2-tuple linguistic power weighted
average (P2TLPWA) operator, Pythagorean 2-tuple linguistic power
weighted geometric (P2TLPWG) operator, Pythagorean 2-tuple linguistic
power ordered weighted average (P2TLPOWA) operator,
Pythagorean 2-tuple linguistic power ordered weighted geometric
(P2TLPOWG) operator, Pythagorean 2-tuple linguistic power
hybrid average (P2TLPHA) operator and Pythagorean 2-tuple linguistic
power hybrid geometric (P2TLPHG) operator. The prominent
characteristic of these proposed operators are studied. Then,
we have utilized these operators to develop some approaches to
solve the Pythagorean 2-tuple linguistic multiple attribute decision
making problems. Finally, a practical example for enterprise
resource planning (ERP) system selection is given to verify the
developed approach and to demonstrate its practicality and
effectiveness
- …