Intuitionistic Fuzzy Linguistic Induced Ordered Weighted Averaging Operator for Group Decision Making

Dong

Liu

et al. 2017

Self Cite

In the multiple attribute linguistic group decision making analysis with interval‐valued intuitionistic fuzzy linguistic information, seeking highly efficient aggregation method and order relation play a crucial role. In this paper, we redefine an interval‐valued intuitionistic fuzzy linguistic variable that considers principal component and propose generalized interval‐valued intuitionistic fuzzy linguistic induced hybrid aggregation (GIVIFLIHA) operator with entropic order‐inducing variable and interval‐valued intuitionistic fuzzy linguistic technique for order preference by similarity to an ideal solution (TOPSIS) order relation based on interval‐valued intuitionistic fuzzy linguistic distance measure. Then, some primary properties of the GIVIFLIHA operator are discussed, and a linguistic group decision‐making approach based on GIVIFLIHA operator and interval‐valued intuitionistic fuzzy linguistic TOPSIS order relation is proposed. Finally, a numerical example concerning the investment strategy is given to illustrate the validity and applicability of the proposed method, and then the method is compared with the existing method to further illustrate its flexibility.

“…Thus, inspired by Refs. , we introduce a generalized A‐IFN that considers principal component. For convenience, we call it GA‐IFN in this paper.…”

Section: Preliminariesmentioning

confidence: 99%

\overset{S}{true}

be fixed, an intuitionistic triangular fuzzy linguistic variable considering principal component is defined as:

\dot{s} = false([s_{α}, s_{β}, s_{γ}]; μ_{\dot{s}}, ν_{\dot{s}} false),

where

s_{α}, s_{β}, s_{γ} \in \hat{S}, s_{α} \leq s_{β} \leq s_{γ}

, and

[s_{α}, s_{β}, s_{γ}]

denotes the principal component of

\overset{s}{true}

; the values

μ_{\dot{s}}

and

ν_{\dot{s}}

represent the maximum degree of the membership and the nonmembership, respectively, and satisfy the

0 \leq μ_{\overset{s}{true}} \leq 1, 0 \leq ν_{\overset{s}{true}} \leq 1

, and

0 \leq μ_{\overset{s}{true}} + ν_{\overset{s}{true}} \leq 1

.…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Novel Approach for Linguistic Group Decision Making Based on Generalized Interval-Valued Intuitionistic Fuzzy Linguistic Induced Hybrid Operator and TOPSIS

Dong

Liu

et al. 2017

Self Cite

“…Thus in this case, it is necessary for making decision to take the principal value x into consideration. Xian et al . proposed a concept of A ‐IFN, it is effective in satisfying the actual need of coping with the real‐world problems …”

Section: Introductionmentioning

confidence: 99%

A ranking function based on principal-value Pythagorean fuzzy set in multicriteria decision making

Yin

et al. 2018

Self Cite

Multicriteria decision making (MCDM) has been attracting attention in recent years. There are two essential directions in the research territory, one direction is the research of representation of evaluation information and another is the construction of ranking function. In this paper, we consider some nonstandard fuzzy sets, intuitionistic, and interval‐valued fuzzy sets. Especially, the Pythagorean membership grade and Pythagorean fuzzy set receive much attention. Then, to reflect the importance of principal value, we shall propose the principal‐value Pythagorean fuzzy number (p‐PFN) and principal‐value Pythagorean fuzzy set. Furthermore, a novel ranking function is constructed to select the ideal alternative(s) based on p‐PFNs in MCDM. Finally, an investment strategy decision‐making problem is proposed to reveal the availability and practicability of the function under the new environment.

A Novel Intuitionistic Fuzzy Induced Ordered Weighted Euclidean Distance Operator and Its Application for Group Decision Making

Xue

Dong

2016

Self Cite

In the paper, we develop the novel intuitionistic fuzzy induced ordered weighted Euclidean distance (NIFIOWED) operator based on the generalized intuitionistic fuzzy distance for multiple attribute group decision making problems. The NIFIOWED operator's attribute values take the form of Atanassov's intuitionistic fuzzy numbers(A‐IFNs), and the principal component x of A‐IFN is taken into account first. The prime properties of the NIFIOWED operator are investigated. Finally, a new method and a numerical example are provided to reveal the availability and practicability of the NIFIOWED operator.