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  1.  19
    Cubic Ordered Weighted Distance Operator and Application in Group Decision-Making.Muhammad Shakeel, Saleem Abdullah & Rehan Ahmed - 2019 - Journal of Intelligent Systems 29 (1):440-458.
    Group decision-making is a very useful technique for ranking the group of alternatives. The ordered weighted distance operator is a new tool in group decision-making problems. In this paper, we apply the OWD operator on cubic information. We develop a new operator, the so-called cubic OWD operator, and study the different properties of it. We also discuss some particular cases of COWD. Finally, we develop a general algorithm for group decision-making problems using the COWD operator and give an application to (...)
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  2.  17
    Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making.Khaista Rahman, Saleem Abdullah & Muhammad Sajjad Ali Khan - 2019 - Journal of Intelligent Systems 29 (1):393-408.
    In this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable properties, such as idempotency, boundedness, commutativity, and monotonicity. The main advantage of using the proposed operators is that these operators give a more complete view of the problem to the decision makers. These operators provide more accurate and precise results as compared the (...)
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  3.  14
    Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making.Khaista Rahman, Saleem Abdullah, Asad Ali & Fazli Amin - 2019 - Journal of Intelligent Systems 29 (1):736-752.
    Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging aggregation operator along with some of its properties, namely idempotency, boundedness, and monotonicity. PFEHA aggregation operator is the generalization of Pythagorean fuzzy Einstein weighted averaging aggregation operator and Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. The operator proposed in this paper provides more accurate and (...)
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  4.  12
    Gray Method for Multiple Attribute Decision Making with Incomplete Weight Information Under the Pythagorean Fuzzy Setting.Muhammad Sajjad Ali Khan, Saleem Abdullah & Peide Lui - 2018 - Journal of Intelligent Systems (1):858-876.
    In this study, we developed an approach to investigate multiple attribute group decision-making problems, in which the attribute values take the form of Pythagorean fuzzy numbers whose information about attribute weights is incompletely known. First, the Pythagorean fuzzy Choquet integral geometric operator is utilized to aggregate the given decision information to obtain the overall preference value of each alternative by experts. In order to obtain the weight vector of the criteria, an optimization model based on the basic ideal of the (...)
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  5.  9
    Pythagorean Hesitant Fuzzy Information Aggregation and Their Application to Multi-Attribute Group Decision-Making Problems.Muhammad Sajjad Ali Khan, Saleem Abdullah, Asad Ali & Khaista Rahman - 2019 - Journal of Intelligent Systems 29 (1):154-171.
    In this paper, we introduce the concept of the Pythagorean hesitant fuzzy set, which is the generalization of the intuitionistic hesitant fuzzy set under the restriction that the square sum of its membership degrees is ≤1. In decision making with PHFSs, aggregation operators play a key role because they can be used to synthesize multidimensional evaluation values represented as Pythagorean hesitant fuzzy values into collective values. Under PHFS environments, Pythagorean hesitant fuzzy ordered weighted averaging and Pythagorean fuzzy ordered weighted geometric (...)
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  6.  5
    Power Average Operators of Trapezoidal Cubic Fuzzy Numbers and Application to Multi-Attribute Group Decision Making.Muhammad Shakeel, Saleem Abdullah, Fazli Amin & Aliya Fahmi - 2019 - Journal of Intelligent Systems 29 (1):1643-1661.
    Trapezoidal cubic fuzzy numbers are an extraordinary cubic fuzzy set on a real number set. TzCFNs are useful for dealing with well-known quantities in decision data and decision making problems themselves. This paper is about multi-attribute group decision making problems in which the attribute values are stated with TzCFNs, which are solved by developing a new decision method based on power average operators of TzCFNs. The new operation laws for TzCFNs are given. Hereby, the power average operator of real numbers (...)
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  7.  4
    Trapezoidal Linguistic Cubic Fuzzy TOPSIS Method and Application in a Group Decision Making Program.Shah Hussain, Muhammad Aslam, Fazli Amin, Saleem Abdullah & Aliya Fahmi - 2019 - Journal of Intelligent Systems 29 (1):1283-1300.
    The aim of this paper is to define some new operation laws for the trapezoidal linguistic cubic fuzzy number and Hamming distance. Furthermore, we define and use the trapezoidal linguistic cubic fuzzy TOPSIS method to solve the multi criteria decision making method. The new ranking method for trapezoidal linguistic cubic fuzzy numbers are used to rank the alternatives. Finally, an illustrative example is given to verify and prove the practicality and effectiveness of the proposed method.
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