Fuzzy OWA Operator Research Articles

Induced Generalized Intuitionistic Fuzzy OWA Operator on GRA Method for Evaluation of Self-Propelled Artillery System: Ammunition Based Computer Assisted Military Experiment

The Self-Propelled Artillery System selection problem, which is a sub-problem of the Weapon Systems Selection Problems (WSSP), is an extremely important strategic level decision problem and constitutes the main focus of this study. To solve the problem, 3 different weapon systems were evaluated based on 7 criteria. The solution methodology consists of the integration of induced generalized ordered weighted averaging (IG-IFOWA) operator and Grey Relational Analysis (GRA). Such a solution proposal has not been seen in previous WSSP applications. To test the validity and applicability of the proposed methodology, the results of the study were tested on an ammunition-based computer-aided military experiment. The results reveal the effectiveness of the selected weapon system.

Research on the evaluation of China's photovoltaic policy driving ability under the background of carbon neutrality

The realization of carbon neutral goal is inseparable from the development of new energy industry, and scientific and effective policy support can accelerate the progress of the goal. In this paper, the policy driven ability of China's photovoltaic industry in the background of carbon neutral is evaluated. Firstly, the evaluation system is established by the improved diamond model. Then, the policy evaluation standard is formulated according to the Interval Type-2 Fuzzy sets (IT2FS). Finally, the weight of each index is determined by using the fuzzy OWA operator weighting method (F-OWA). Then, the policy driving ability of China's photovoltaic industry is evaluated by fuzzy matter-element extension method (F-MEEM), and the effectiveness of the evaluation results is further verified by weight sensitivity analysis. According to the evaluation results, policy support plays an important role in the development of photovoltaic industry. This paper also gives policy suggestions for the development of China's photovoltaic industry under the background of carbon neutral from the macro, meso and micro perspectives.

The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

The belief structure quasi-arithmetic triangular fuzzy ordered weighted averaging BS-QTFOWA operator is developed by extending the quasi-arithmetic ordered weighted averaging operator to accommodat...

The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

The belief structure quasi-arithmetic triangular fuzzy ordered weighted averaging BS-QTFOWA operator is developed by extending the quasi-arithmetic ordered weighted averaging operator to accommodate triangular fuzzy values by using Dempster-Shafer theory of evidence. The characteristics of the proposed operator are as follows: triangular fuzzy values are used to depict uncertain and fuzzy information; Dempster-Shafer theory of evidence is used to model uncertainty existing in the knowledge of attributes; quasi-arithmetic ordered weighted averaging operator is used to aggregate evaluation values, which can provide decision maker a complete view of the decision problem. The special cases of the BS-QTFOWA operator are analyzed and the properties of it are studied. A new multiple attribute decision making method based on the new operator is presented to aggregate triangular fuzzy information. Finally, a numerical example of supplier selection problem is given to illustrate the flexibility and practical advantages of our new decision making method.

Some issues on quasi-arithmetic intuitionistic fuzzy OWA operators

This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corresponding specific QIFOWA operators are given to show a consistent result. Our revisions will undoubtedly result in the improvement of both the theoretic development and the practical application in aggregation operator for decision making problems.

The quasi-arithmetic intuitionistic fuzzy OWA operators

By extending the quasi-arithmetic ordered weighted averaging operator to different intuitionistic fuzzy situations, we introduce three kinds of new operators: the quasi-intuitionistic fuzzy ordered weighted averaging operator, the quasi-intuitionistic fuzzy Choquet ordered averaging operator and the quasi-intuitionistic fuzzy ordered weighted averaging operator based on the Dempster–Shafer belief structure. The properties of the new aggregation operators are pointed out and their special cases are examined. New decision making methods based on the proposed operators have been presented, and they are applied to solve a financial decision making problem, which sufficiently show the flexibility and practical advantages of our new operators and decision making methods. All the above new aggregation operators and corresponding decision making methods are further extended to the interval-valued intuitionistic fuzzy environment.

Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making

With respect to multi-attribute group decision making (MAGDM) problems in which both the attribute weights and the decision makers (DMs) weights take the form of real numbers, attribute values provided by the DMs take the form of intuitionistic fuzzy numbers, a new group decision making method is developed. Some operational laws, score function and accuracy function of intuitionistic fuzzy numbers are introduced at first. Then a new aggregation operator called induced generalized intuitionistic fuzzy ordered weighted averaging (IG-IFOWA) operator is proposed, which extend the induced generalized ordered weighted averaging (IGOWA) operator introduced by Merigo and Gil-Lafuente [Merigo, J. M., & Gil-Lafuente, A. M. (2009). The induced generalized OWA operator. Information Sciences, 179, 729–741] to accommodate the environment in which the given arguments are intuitionistic fuzzy sets that are characterized by a membership function and a non-membership function. Some desirable properties of the IG-IFOWA operator are studied, such as commutativity, idempotency, monotonicity and boundary. And then, an approach based on the IG-IFOWA and IFWA (intuitionistic fuzzy weighted averaging) operators is developed to solve MAGDM problems with intuitionistic fuzzy information. Finally, a numerical example is used to illustrate the developed approach.

Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making

For the real decision making problems, most criteria have inter-dependent or interactive characteristics so that it is not suitable for us to aggregate them by traditional aggregation operators based on additive measures. Thus, to approximate the human subjective decision making process, it would be more suitable to apply fuzzy measures, where it is not necessary to assume additivity and independence among decision making criteria. In this paper, an intuitionistic fuzzy Choquet integral is proposed for multiple criteria decision making, where interactions phenomena among the decision making criteria are considered. First, we introduced two operational laws on intuitionistic fuzzy values. Then, based on these operational laws, intuitionistic fuzzy Choquet integral operator is proposed. Moreover, some of its properties are investigated. It is shown that the intuitionistic fuzzy Choquet integral operator can be represented by some special t-norms and t-conorms, and it is also a generalization of the intuitionistic fuzzy OWA operator and intuitionistic fuzzy weighted averaging operator. Further, the procedure and algorithm of multi-criteria decision making based on intuitionistic fuzzy Choquet integral operator is given under uncertain environment. Finally, a practical example is provided to illustrate the developed approaches.