Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations
نویسندگان
چکیده
This article investigates multiplicative consistency ascertaining, inconsistency repairing, and weights derivation for hesitant preference relations (HMPRs). First, the completely weakly of HMPRs are defined. Based on them, 0–1 mixed programming models simple algebraic operations proposed to ascertain HMPRs. Then, some goal developed generate from consistent revise inconsistent An integrated procedure manage consistencies is designed. The methods also extended accommodate incomplete HMPRs, estimate missing values. Finally, numerical examples, a comparative analysis with existent approaches, simulation included illustrate practicality effectiveness models.
منابع مشابه
Deriving the priority weights from incomplete hesitant fuzzy preference relations based on multiplicative consistency
In this paper, we define the concept of incomplete hesitant fuzzy preference relations to deal with the cases where the decision makers express their judgments by using hesitant fuzzy preference relations with incomplete information, and investigate the consistency of the incomplete hesitant fuzzypreference relations and obtain the reliable priority weights. We first establish a goal programmin...
متن کاملMultiplicative Consistency of hesitant fuzzy Preference Relation and its Application in Group Decision Making
As we may have a set of possible values when comparing alternatives (or criteria), the hesitant fuzzy preference relation becomes a suitable and powerful technique to deal with this case. This paper mainly focuses on the multiplicative consistency of the hesitant fuzzy preference relation. First of all, we explore some properties of the hesitant fuzzy preference relation and develop some new ag...
متن کاملMultiperson Decision Making Based on Multiplicative Preference Relations Multiperson Decision Making Based on Multiplicative Preference Relations
A multiperson decision making problem, where the information about the alternatives provided by the experts can be presented by means of diierent preference representation structures (preference orderings, utility functions and multiplicative preference relations) is studied. Assuming the multiplicative preference relation as the uniform element of the preference representation, a multiplicativ...
متن کاملMultiplicative Weights
In this lecture, we will study various applications of the theory of Multiplicative Weights (MW). In this section, we briefly review the general version of the MW algorithm that we studied in the previous lecture. The following sections then show how the theory can be applied to approximately solve zero-sum games and linear programs, and how it connects with the theory of boosting and approxima...
متن کاملInterval-Valued Multiplicative Intuitionistic Fuzzy Preference Relations
Inspired by the idea of multiplicative intuitionistic preference relation (Xia MM et al. Preference relations based on intuitionistic multiplicative information, IEEE Transactions on Fuzzy Systems, 2013, 21(1): 113-133), in this paper, a new preference relation called the interval-valued multiplicative intuitionistic preference relation is developed. It is analyzed the basic operations for inte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE transactions on systems, man, and cybernetics
سال: 2022
ISSN: ['1083-4427', '1558-2426']
DOI: https://doi.org/10.1109/tsmc.2021.3099862