Linguistic interval-valued Q-rung Orthopair fuzzy TOPSIS method for decision making problem with incomplete weight

2021 ◽  
pp. 1-13
Author(s):  
Muhammad Sajjad Ali Khan ◽  
Amir Sultan Khan ◽  
Israr Ali Khan ◽  
Fawad Hussain ◽  
Wali Khan Mashwani
Keyword(s):  
Decision Making ◽  
Comparative Study ◽  
Fuzzy Set ◽  
Fuzzy Topsis ◽  
Multi Criteria Decision Making ◽  
Topsis Method ◽  
Aggregation Techniques ◽  
Decision Making Problem ◽  
Incomplete Weight ◽  
Interval Valued

The aim of this paper is to introduce the notion of linguistic interval-valued q-rung Orthopair fuzzy set (LIVq-ROFS) as a generalization of linguistic q-rung orthopair fuzzy set. We develop some basic operations, score and accuracy functions to compare the LIVq-ROF values (LIVq-ROFVs). Based on the proposed operations a series of aggregation techniques to aggregate the LIVq-ROFVs and some of their desirable properties are discussed in detail. Moreover, a TOPSIS method is developed to solve a multi-criteria decision making (MCDM) problem under LIVq-ROFS setting. Furthermore, a MCDM approach is proposed based on the developed operators and TOPSIS method, then a practical decision making example is given in order to explain the proposed method. To illustrate to effectiveness and application of the proposed method a comparative study is also conducted.

scholarly journals Evaluation of Investment Opportunities With Interval-Valued Fuzzy Topsis Method

2020 ◽  
Vol 5 (1) ◽  
pp. 461-474 ◽  
Author(s):  
Naiyer Mohammadi Lanbaran ◽  
Ercan Celik ◽  
Muhammed Yiğider
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Estimation Error ◽  
Fuzzy Topsis ◽  
Optimal Choice ◽  
Topsis Method ◽  
Relative Closeness ◽  
Ideal Solutions ◽  
Fuzzy Logic Theory ◽  
Interval Valued

AbstractThe purpose of this study is extended the TOPSIS method based on interval-valued fuzzy set in decision analysis. After the introduction of TOPSIS method by Hwang and Yoon in 1981, this method has been extensively used in decision-making, rankings also in optimal choice. Due to this fact that uncertainty in decision-making and linguistic variables has been caused to develop some new approaches based on fuzzy-logic theory. Indeed, it is difficult to achieve the numerical measures of the relative importance of attributes and the effects of alternatives on the attributes in some cases. In this paper to reduce the estimation error due to any uncertainty, a method has been developed based on interval-valued fuzzy set. In the suggested TOPSIS method, we use Shannon entropy for weighting the criteria and apply the Euclid distance to calculate the separation measures of each alternative from the positive and negative ideal solutions to determine the relative closeness coefficients. According to the values of the closeness coefficients, the alternatives can be ranked and the most desirable one(s) can be selected in the decision-making process.

Multi-Criteria Decision Making Methods Based on Interval-Valued Intuitionistic Fuzzy Sets

2014 ◽  
Vol 22 (03) ◽  
pp. 469-488 ◽  
Author(s):  
Chunqiao Tan ◽  
Benjiang Ma ◽  
Desheng Dash Wu ◽  
Xiaohong Chen
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Multi Criteria Decision Making ◽  
Evaluation Function ◽  
Score Functions ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Point ◽  
Decision Making Problem ◽  
Interval Valued

Fuzziness is inherent in decision data and decision making process. In this paper, interval-valued intuitionistic fuzzy set is used to capture fuzziness in multi-criteria decision making problems. The purpose of this paper is to develop a new method for solving multi-criteria decision making problem in interval-valued intuitionistic fuzzy environments. First, we introduce and discuss the concept of interval-valued intuitionistic fuzzy point operators. Using the interval-valued intuitionistic fuzzy point operators, we can reduce the degree of uncertainty of the elements in a universe corresponding to an interval-valued intuitionistic fuzzy set. Then, we define an evaluation function for the decision-making problem to measure the degrees to which alternatives satisfy and do not satisfy the decision-maker's requirement. Furthermore, a series of new score functions are defined for multi-criteria decision making problem based on the interval-valued intuitionistic fuzzy point operators and the evaluation function and their effectiveness and advantage are illustrated by examples.

scholarly journals Generalised Interval-Valued Fuzzy Soft Set

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Shawkat Alkhazaleh ◽  
Abdul Razak Salleh
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Fuzzy Set ◽  
Medical Diagnosis ◽  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Interval Valued

We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.

Extended topsis method based on Pythagorean cubic fuzzy multi-criteria decision making with incomplete weight information

2020 ◽  
Vol 38 (2) ◽  
pp. 2285-2296 ◽  
Author(s):  
Muhammad Sajjad Ali Khan ◽  
Faisal Khan ◽  
Joseph Lemley ◽  
Saleem Abdullah ◽  
Fawad Hussain
Keyword(s):  
Decision Making ◽  
Multi Criteria Decision Making ◽  
Topsis Method ◽  
Incomplete Weight ◽  
Incomplete Weight Information

scholarly journals On Interval-Valued Hesitant Fuzzy Soft Sets

2015 ◽  
Vol 2015 ◽  
pp. 1-17 ◽  
Author(s):  
Haidong Zhang ◽  
Lianglin Xiong ◽  
Weiyuan Ma
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Soft Set ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Numerical Examples ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Interval Valued

By combining the interval-valued hesitant fuzzy set and soft set models, the purpose of this paper is to introduce the concept of interval-valued hesitant fuzzy soft sets. Further, some operations on the interval-valued hesitant fuzzy soft sets are investigated, such as complement, “AND,” “OR,” ring sum, and ring product operations. Then, by means of reduct interval-valued fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to interval-valued hesitant fuzzy soft sets based on decision making and some numerical examples are provided to illustrate the developed approach. Finally, the weighted interval-valued hesitant fuzzy soft set is also introduced and its application in decision making problem is shown.

scholarly journals New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Haifeng Song ◽  
Lvqing Bi ◽  
Bo Hu ◽  
Yingying Xu ◽  
Songsong Dai
Keyword(s):  
Decision Making ◽  
Fuzzy Set ◽  
Distance Measures ◽  
Complex Numbers ◽  
Complex Fuzzy Set ◽  
Decision Making Problem ◽  
Euclidean Distances ◽  
Fuzzy Distances ◽  
New Research ◽  
Interval Valued

As a generalization of complex fuzzy set (CFS), interval-valued complex fuzzy set (IVCFS) is a new research topic in the field of CFS theory, which can handle two different information features with the uncertainty. Distance is an important tool in the field of IVCFS theory. To enhance the applicability of IVCFS, this paper presents some new interval-valued complex fuzzy distances based on traditional Hamming and Euclidean distances of complex numbers. Furthermore, we elucidate the geometric properties of these distances. Finally, these distances are used to deal with decision-making problem in the IVCFS environment.

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