Intuitionistic Fuzzy Preference Research Articles

Decision Making with Intuitionistic Fuzzy Best-Worst Method

Best-worst method (BWM) is an efficient multi-attribute decision-making (MADM) method. This paper puts forward two decision-making methods with intuitionistic fuzzy (IF) BWM (IF-BWM). Firstly, a new consistency definition of IF-BWM is presented. To comprehensive reflect the consistency level of original IF preference comparisons, an acceptable input-and-output-based consistency ratio (CR) of IF-BWM preference comparisons is defined to measure the consistency level of IF-BWM preference comparisons. A goal linear programming model is built to improve the consistency level of input-based CR from the original IF-BWM preference comparisons. To induce an optimal multiplicative normalized IF weight vector (IFWV), a programming model is set up. Accordingly, a novel individual IF-BWM is proposed. Using the deviation between IF values, an analytic expression of determining experts' weights is formulated. By minimizing the weighted deviation between individual multiplicative normalized IFWVs and group multiplicative normalized IFWV, a programming model is built to determine the optimal group multiplicative normalized IFWV. Subsequently, a novel group IF-BWM is put forward. Two real-life examples are furnished to reveal the validity of proposed individual IF-BWM and group IF-BWM in practice. In view of theoretical aspect, this paper fosters the theory of IF-BWM by firstly proposing an input-based CR, output-based CR, an acceptable input-and-output-based CR and group IF-BWM. The model of improving CR of IF-BWM preference comparisons is initially discussed. This paper has a certain guiding significance for the following research on IF-BWM and provides a novel perspective for an MADM problem with positive and negative preference information.

Evaluation of papers according to offset print quality: the intuitionistic fuzzy based multi criteria decision making mechanism

PurposeThe aim of this paper, using the intuitionistic fuzzy (IF)–set based Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) method, is to create multicriteria decision-making (MCDM) mechanism that evaluates the papers according to the offset print quality, separately for each of the CMYK colors. Thanks to the mechanism, the most suitable and the most unsuitable paper for printing is determined.Design/methodology/approachWith the IF PROMETHEE method, respectively, deviations are calculated by linear criteria type; the overall IF preference relation matrix is obtained. Finally, the positive and negative outranking flows are calculated; by obtaining net outranking flows, all papers are ranked from best to worst for printability.FindingsBased on the results of the MCDM algorithm; the best offset printing quality is Matte Coated 115 gr. for cyan, magenta and black and Glossy Coated 115 gr. for yellow. The worst offset printing quality for all papers is 70 gr. III. low grade paper. According to the findings, when all colors are examined, the best paper for offset printing quality is coated papers; the worst paper is III. low grade papers.Originality/valueThe creation of mechanism that evaluates all criteria together leads to the most accurate result. Cases of hesitation are also addressed using an IF-based algorithm; all criteria were assigned individual importance levels, and a single result was obtained by activating all of the criteria simultaneously. Therefore reasons, this is paper that will bring innovation and shed light on studies in this field.

A NEW PERSPECTIVE ON EVALUATION SYSTEM IN EDUCATION WITH INTUITIONISTIC FUZZY LOGIC AND PROMETHEE ALGORITHM

This research attempts to seek for multi criteria decision making through the PROMETHEE method. This paper aims to propose an application of multi criteria decision making in intuitionistic fuzzy sets. The success ranking of schools was analyzed through the use of the PROMETHEE method. Besides, the most successful school was identifi ed among these ranked schools. In this research, the intuitionistic fuzzy PROMETHEE method was employed during ranking of schools' success. The main reason for using intuitionistic fuzzy PROMETHEE is that it takes into account both intuitionistic fuzzy weights and intuitionistic fuzzy preferences at the same time. This paper applies to many fi elds; however, we proposed an application in the eld of education in this study. The primary purpose of this paper is expected to create an algorithm of intuitionistic fuzzy PROMETHEE and offer an application example that will shed light on many application areas. Using multi criteria decision making methods together with intuitionistic fuzzy logic will help us obtain more rational and more objective results.

Intuitionistic Fuzzy Possibility Degree Measure for Ordering of IVIFNs with Its Application to MCDM

In this article, the concept of an intuitionistic fuzzy possibility degree (IFPD) for ordering several interval-valued intuitionistic fuzzy numbers (IVIFNs) is introduced. The IFPD ranks IVIFNs by distinguishing the comparable and non-comparable components of the joint intervals of membership and non-membership degrees. The incomparable cases of nested joint intervals can also rank respective IVIFNs through the proposed IFPD approach. An intuitionistic fuzzy possibility preference relation based on the proposed IFPD measure for IVIFNs is defined as a more effective tool for modelling uncertainty than existing intuitionistic preference relations. Further, an approach for solving multicriteria interval-valued intuitionistic fuzzy decision-making problems based on IFPD measure of IVIFNs is advanced also provides a possibility degree as supplementary information to the ranking of alternatives. The validity and effectiveness of the advanced approach are demonstrated through two illustrative examples.

New transitivity property of intuitionistic fuzzy multiplicative preference relation and its application in missing value estimation

New transitivity property of intuitionistic fuzzy multiplicative preference relation and its application in missing value estimation

Optimization Oriented Performance Assessment for Combustion Process of Coke Oven

This paper presents an optimization oriented performance assessment method for combustion process of coke oven by integrating analytic hierarchical process (AHP) and intuitionistic fuzzy(IF) set. An AHP model is built up including safety, stability and economic considerations. To handle the complexity in the combustion process of coke oven, where the decision maker usually has some uncertainty in assigning preference values to the index considered, the IF set is used to obtain the IF preference. Entropy and cross entropy are applied to calculate the weights of the individual indices. The comprehensive evaluation method integreated the AHP and IF can effectively solve the performance assessment for the combustion process of the coke oven. Finally, the data obtained from the process model in different operating conditions are used to demonstrate the effectiveness.

Multi-criteria decision making with intuitionistic fuzzy PROMETHEE

This paper investigates one of the outranking based methods, PROMETHEE (Preference Ranking Organization Method for Enrichment Evaluation), for multi-criteria decision making, and extends it into intuitionistic fuzzy circumstance. Our enhancement of the PROMETHEE with intuitionistic fuzzy set, named IF-PROMETHEE, takes not only intuitionistic fuzzy preferences, but also intuitionistic fuzzy weights into account. Two practical examples are carried out to illustrate the applicability and efficiency of our proposed method in solving multi-criteria decision making problems. The first example concerning the evaluation of alternative energy exploitation projects shows that IF-PROMETHEE can depict more comprehensive preference information than PROMETHEE and F-PROMETHEE. The second example further illustrates the application of IF-PROMETHEE.

GROUP DECISION MAKING METHODOLOGY BASED ON THE ATANASSOV'S INTUITIONISTIC FUZZY SET GENERALIZED OWA OPERATOR

The aim of this paper is to develop a new methodology for solving group decision making problems in which preference comparisons between alternatives are expressed with Atanassov's intuitionistic fuzzy (IF) preference relations. In this methodology, the generalized ordered weighted averaging (GOWA) operator is extended to develop the Atanassov's IF set (IFS) generalized ordered weighted averaging (IFSGOWA) operator, which can aggregate vague or imprecise information expressed with the Atanassov's IFSs. The Atanassov's IFSGOWA operator based methodology is further developed to solve group decision making problems with Atanassov's IF preference relations. A real example of the agroecological region assessment problem is used to illustrate the implementation and applicability of the proposed methodology. It is also shown that the obtained decision results could be affected by the choice of the parameter lambda and the nature of the weights.

The Paretian liberal with intuitionistic fuzzy preferences: A result

In the present paper we consider a situation in which the individual preferences and the social preference relation are intuitionistic fuzzy and study the compatibility between the Pareto principle and Sen’s minimal liberalism condition. A possible factorization of the intuitionistic fuzzy weak preference relation allows us to prove a possibility result for the case of max-min transitive social preference.