The Experts below are selected from a list of 45438 Experts worldwide ranked by ideXlab platform
Basem Aref Frasin - One of the best experts on this subject based on the ideXlab platform.
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general Integral Operator of analytic functions involving functions with positive real part
Journal of Mathematics, 2013Co-Authors: Basem Aref FrasinAbstract:Let be the Integral Operator defined by where each of the functions and are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this Integral Operator. Our main results contain some interesting corollaries as special cases.
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order of convexity and univalency of general Integral Operator
Journal of The Franklin Institute-engineering and Applied Mathematics, 2011Co-Authors: Basem Aref FrasinAbstract:Abstract In this paper, we introduce the Integral Operator I γ α i , β i ( f 1 , … , f n ) ( z ) of analytic functions. The order of convexity of this Integral Operator when γ = 1 is determined. Furthermore, we derive sufficient conditions for this Operator to be analytic and univalent in the open unit disc.
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Integral Operator of analytic functions with positive real part
Kyungpook Mathematical Journal, 2011Co-Authors: Basem Aref FrasinAbstract:In this paper, we introduce the Integral Operator (, , ; , , )(z) analytic functions with positive real part. The radius of convexity of this Integral Operator when = 1 is determined. In particular, we get the radius of starlikeness and convexity of the analytic functions with Re {f(z)/z} > 0 and Re {f'(z)} > 0. Furthermore, we derive sufficient condition for the Integral Operator (, , ; , , )(z) to be analytic and univalent in the open unit disc, which leads to univalency of the Operators dt and .
Hadi Akbarzadeh Khorshidi - One of the best experts on this subject based on the ideXlab platform.
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higher order hesitant fuzzy choquet Integral Operator and its application to multiple criteria decision making
Iranian Journal of Fuzzy Systems, 2021Co-Authors: Bahram Farhadinia, Uwe Aickelin, Hadi Akbarzadeh KhorshidiAbstract:Generally, the criteria involved in a decision making problem are interactive or inter- dependent, and therefore aggregating them by the use of traditional Operators which are based on additive measures is not logical. This verifies that we have to implement fuzzy measures for modelling the interaction phenomena among the criteria. On the other hand, based on the recent extension of hesitant fuzzy set, called higher order hesitant fuzzy set (HOHFS) which allows the membership of a given element to be defined in forms of several possible generalized types of fuzzy set, we encourage to propose the higher order hesitant fuzzy (HOHF) Choquet Integral Operator. This concept not only considers the importance of the higher order hesitant fuzzy arguments, but also it can reflect the correlations among those arguments. Then, a detailed discussion on the aggregation properties of the HOHF Choquet Integral Operator will be presented. To enhance the application of HOHF Choquet Integral Operator in decision making, we first assess the appropriate energy policy for the socio-economic development. Then, the efficiency of the proposed HOHF Choquet Integral Operator-based technique over a number of exiting techniques is further verified by employing another decision making problem associated with the technique of TODIM (an acronym in Portuguese of Interactive and Multicriteria Decision Making).
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higher order hesitant fuzzy choquet Integral Operator and its application to multiple criteria decision making
arXiv: Artificial Intelligence, 2020Co-Authors: Bahram Farhadinia, Uwe Aickelin, Hadi Akbarzadeh KhorshidiAbstract:Generally, the criteria involved in a decision making problem are interactive or inter-dependent, and therefore aggregating them by the use of traditional Operators which are based on additive measures is not logical. This verifies that we have to implement fuzzy measures for modelling the interaction phenomena among the criteria.On the other hand, based on the recent extension of hesitant fuzzy set, called higher order hesitant fuzzy set (HOHFS) which allows the membership of a given element to be defined in forms of several possible generalized types of fuzzy set, we encourage to propose the higher order hesitant fuzzy (HOHF) Choquet Integral Operator. This concept not only considers the importance of the higher order hesitant fuzzy arguments, but also it can reflect the correlations among those arguments. Then,a detailed discussion on the aggregation properties of the HOHF Choquet Integral Operator will be this http URL enhance the application of HOHF Choquet Integral Operator in decision making, we first assess the appropriate energy policy for the socio-economic development. Then, the efficiency of the proposed HOHF Choquet Integral Operator-based technique over a number of exiting techniques is further verified by employing another decision making problem associated with the technique of TODIM (an acronym in Portuguese of Interactive and Multicriteria Decision Making).
Xiaohong Chen - One of the best experts on this subject based on the ideXlab platform.
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induced intuitionistic fuzzy choquet Integral Operator for multicriteria decision making
Journal of intelligent systems, 2011Co-Authors: Chunqiao Tan, Xiaohong ChenAbstract:Yager (Fuzzy Sets, Syst 2003;137:59–69) extended the idea of order-induced aggregation to the Choquet aggregation and defined induced Choquet ordered averaging Operator. In this paper, an induced intuitionistic fuzzy Choquet (IFC) Integral Operator is proposed for the multiple criteria decision making. Some of its properties are investigated. Furthermore, an induced generalized IFC Integral Operator is introduced. It is worth mentioning that most of the existing intuitionistic fuzzy aggregation Operators are special cases of this induced aggregation Operator. A decision procedure based on the proposed induced aggregation Operator is developed for solving the multicriteria decision-making problem in which all the decision information is represented by intuitionistic fuzzy values. An illustrative example is given for demonstrating the applicability of the proposed decision procedure. © 2011 Wiley Periodicals, Inc. © 2011 Wiley Periodicals, Inc.
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intuitionistic fuzzy choquet Integral Operator for multi criteria decision making
Expert Systems With Applications, 2010Co-Authors: Chunqiao Tan, Xiaohong ChenAbstract: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.
Sunil Dutt Purohit - One of the best experts on this subject based on the ideXlab platform.
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on the riemann liouville fractional q Integral Operator involving a basic analogue of fox h function
Fractional Calculus and Applied Analysis, 2005Co-Authors: S L Kalla, Rajendra Kumar Yadav, Sunil Dutt PurohitAbstract:The present paper envisages the applications of Riemann-Liouville fractional q-Integral Operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q), Kv(x; q),Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-Integral Operator have been deduced as special cases of the main result. 2000 Mathematics Subject Classification: 33D60, 26A33, 33C60
Bahram Farhadinia - One of the best experts on this subject based on the ideXlab platform.
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higher order hesitant fuzzy choquet Integral Operator and its application to multiple criteria decision making
Iranian Journal of Fuzzy Systems, 2021Co-Authors: Bahram Farhadinia, Uwe Aickelin, Hadi Akbarzadeh KhorshidiAbstract:Generally, the criteria involved in a decision making problem are interactive or inter- dependent, and therefore aggregating them by the use of traditional Operators which are based on additive measures is not logical. This verifies that we have to implement fuzzy measures for modelling the interaction phenomena among the criteria. On the other hand, based on the recent extension of hesitant fuzzy set, called higher order hesitant fuzzy set (HOHFS) which allows the membership of a given element to be defined in forms of several possible generalized types of fuzzy set, we encourage to propose the higher order hesitant fuzzy (HOHF) Choquet Integral Operator. This concept not only considers the importance of the higher order hesitant fuzzy arguments, but also it can reflect the correlations among those arguments. Then, a detailed discussion on the aggregation properties of the HOHF Choquet Integral Operator will be presented. To enhance the application of HOHF Choquet Integral Operator in decision making, we first assess the appropriate energy policy for the socio-economic development. Then, the efficiency of the proposed HOHF Choquet Integral Operator-based technique over a number of exiting techniques is further verified by employing another decision making problem associated with the technique of TODIM (an acronym in Portuguese of Interactive and Multicriteria Decision Making).
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higher order hesitant fuzzy choquet Integral Operator and its application to multiple criteria decision making
arXiv: Artificial Intelligence, 2020Co-Authors: Bahram Farhadinia, Uwe Aickelin, Hadi Akbarzadeh KhorshidiAbstract:Generally, the criteria involved in a decision making problem are interactive or inter-dependent, and therefore aggregating them by the use of traditional Operators which are based on additive measures is not logical. This verifies that we have to implement fuzzy measures for modelling the interaction phenomena among the criteria.On the other hand, based on the recent extension of hesitant fuzzy set, called higher order hesitant fuzzy set (HOHFS) which allows the membership of a given element to be defined in forms of several possible generalized types of fuzzy set, we encourage to propose the higher order hesitant fuzzy (HOHF) Choquet Integral Operator. This concept not only considers the importance of the higher order hesitant fuzzy arguments, but also it can reflect the correlations among those arguments. Then,a detailed discussion on the aggregation properties of the HOHF Choquet Integral Operator will be this http URL enhance the application of HOHF Choquet Integral Operator in decision making, we first assess the appropriate energy policy for the socio-economic development. Then, the efficiency of the proposed HOHF Choquet Integral Operator-based technique over a number of exiting techniques is further verified by employing another decision making problem associated with the technique of TODIM (an acronym in Portuguese of Interactive and Multicriteria Decision Making).
