Synthesizing Effect Model Based on Quasi-Linear Function in Intelligent Materials System

2011 ◽  
Vol 63-64 ◽  
pp. 29-32
Author(s):  
Shu Xin Luo ◽  
Jing Li ◽  
Fa Chao Li

Interval number is a common tool to describe uncertain information. Its ranking method plays a role in solving uncertain decision-making problems. In Ref. [1], by analyzing the feature and shortcomings of the current ranking methods, we proposed a ranking method based on quantity property, and systematically discussed the structure criteria, based on it, in this paper, we firstly introduce the definition of quasi-linear function and establishan order model of interval numbers based on it; secondly, with a specific example, we further analysis the property the order structure built in Ref. [1]. The result shows that this method can merge decision making consciousness into the decision making process effectively. In complex optimization system, decision making and other fields have a wide range of applications.

Author(s):  
JOSÉ M. MERIGÓ ◽  
MONTSERRAT CASANOVAS

We introduce the uncertain generalized OWA (UGOWA) operator. This operator is an extension of the OWA operator that uses generalized means and uncertain information represented as interval numbers. By using UGOWA, it is possible to obtain a wide range of uncertain aggregation operators such as the uncertain average (UA), the uncertain weighted average (UWA), the uncertain OWA (UOWA) operator, the uncertain ordered weighted geometric (UOWG) operator, the uncertain ordered weighted quadratic averaging (UOWQA) operator, the uncertain generalized mean (UGM), and many specialized operators. We study some of its main properties, and we further generalize the UGOWA operator using quasi-arithmetic means. The result is the Quasi-UOWA operator. We end the paper by presenting an application to a decision-making problem regarding the selection of financial strategies.


2014 ◽  
Vol 19 (Supplement_1) ◽  
pp. S454-S470 ◽  
Author(s):  
Peide Liu ◽  
Xiaocun Yu

With respect to the multiple attribute decision making problems in which the attribute values take the form of the intuitionistic trapezoidal fuzzy numbers, some methods based on density aggregation operators are proposed. Firstly, the definition, expected value and the ranking method of intuitionistic trapezoidal fuzzy numbers are introduced, and the method of calculating density weighted vector is proposed. Then some density aggregation operators based on interval numbers and intuitionistic trapezoidal fuzzy numbers are developed, and a multiple attribute decision making method is presented. Finally an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.


Author(s):  
FACHAO LI ◽  
FEI GUAN ◽  
CHENXIA JIN

One of the key issues for support fuzzy decision-making is fuzzy number ranking. The existing ranking methods either do not provide a total ordering or cannot be effectively applied to decision-making processes. In this paper, we first give five basic principles that interval number ranking must satisfy, and construct a quantitative ranking model of interval numbers based on the synthesis effects of each index. We then propose a new constructions method of synthesis effect function systematically. Third, we also develop a new fuzzy numbers ranking model based on numerical characteristics, combining with the interval representation theorem of fuzzy numbers, and analyze the performance and characteristics of this ranking method by a case-based example. The results indicate that this proposed ranking method has good operability and interpretability, which can integrate the decision consciousness into decision process effectively and serve as a guideline for constructing different fuzzy decision methods.


2021 ◽  
pp. 1-17
Author(s):  
Chen Xiang ◽  
Wang Xing ◽  
Zhang Hubiao ◽  
Xu Yuheng ◽  
Chen You ◽  
...  

Threat evaluation (TE) is essential in battlefield situation awareness and military decision-making. The current processing methods for uncertain information are not effective enough for their excessive subjectivity and difficulty to obtain detailed information about enemy weapons. In order to optimize TE on uncertain information, an approach based on interval Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) and the interval SD-G1 (SD standard deviation) method is proposed in this article. By interval SD-G1 method, interval number comprehensive weights can be calculated by combining subjective and objective weights. Specifically, the subjective weight is calculated by interval G1 method, which is an extension of G1 method into interval numbers. And the objective weight is calculated by interval SD method, which is an extension of SD method with the mean and SD of the interval array defined in this paper. Sample evaluation results show that with the interval SD-G1 method, weights of target threat attributes can be better calculated, and the approach combining interval TOPSIS and interval SD-G1 can lead to more reasonable results. Additionally, the mean and SD of interval arrays can provide a reference for other fields such as interval analysis and decision-making.


2013 ◽  
Vol 19 (3) ◽  
pp. 431-447 ◽  
Author(s):  
Weihua Su ◽  
Shouzhen Zeng ◽  
Xiaojia Ye

In this paper, we present the induced uncertain Euclidean ordered weighted averaging distance (IUEOWAD) operator. It is an extension of the OWA operator that uses the main characteristics of the induced OWA (IOWA), the Euclidean distance and uncertain information represented by interval numbers. The main advantage of this operator is that it is able to consider complex attitudinal characters of the decision-maker by using order-inducing variables in the aggregation of the Euclidean distance. Moreover, it is able to deal with uncertain environments where the information is very imprecise and can be assessed with interval numbers. We study some of its main properties and particular cases such as the uncertain maximum distance, the uncertain minimum distance, the uncertain normalized Euclidean distance (UNED), the uncertain weighted Euclidean distance (UWED) and the uncertain Euclidean ordered weighted averaging distance (UEOWAD) operator. We also apply this aggregation operator to a group decision-making problem regarding the selection new artillery weapons under uncertainty.


2011 ◽  
Vol 63-64 ◽  
pp. 25-28 ◽  
Author(s):  
Fa Chao Li ◽  
Jing Li ◽  
Bing Wu

The uncertainty of objective environment and subjective recognition often leads to practical problems appeared in the form of interval numbers. Therefore, studying on the ranking of interval numbers has great worth in theory and practice. In this paper, firstly, we put forward a compound quantification description of interval numbers; furthermore, provide a ranking method based on quantity property and the basic principle this method must followed; after that, combining with the compound quantification description, we get an axiomatic system for the synthesizing problem of each index; finally, study on the structural method of synthesizing effect function, give two types of specific building criteria(i.e. additive and multiplicative model) and discuss the order-preserving property of this order structure.


2012 ◽  
Vol 182-183 ◽  
pp. 2131-2135
Author(s):  
Xiang Rong Fang

In this paper, an in-depth research has been done on the physical meaning and value features of the QoS attribute values under the definition of the functional attributes and non-functional attributes of Web services, giving the computation formulae and matching method expressing QoS composition as interval numbers, providing a more comprehensive and objective information matrix for fuzzy multi-attribute decision making. For multi-attributes fuzzy decision-making matrix with weight information known and the preference information of composition solution given in the form of interval numbers, calculating the overall attribute values, and sorting solutions by using the formula of probability degree, a QoS-driven multi-level composition Web Service selection algorithm is proposed, and simulation runs indicate the feasibility and effectiveness of the algorithm.


Author(s):  
Eda Bolturk ◽  
Cengiz Kahraman

The Analytic Hierarchy Process (AHP) is one of the most widely used methods in multi criteria decision making (MCDM) in many areas. The method has been extended with hesitant fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, and type -2 fuzzy sets etc. These extended methods can consider the vagueness in decision making problems through different definitions of membership functions. Each of them tries to increase the effectiveness of AHP under uncertainty. Decision makers can fully express their judgments through neutrosophic sets (NS) since NS are based on three independent parameters, truthiness (T), indeterminancy (I) and falsity (F), providing a distinction between a ‘relative truth’ and an ‘absolute truth’. In this paper, we employ the possibility degree method for ranking interval numbers in our neutrosophic AHP approach by utilizing NS’ representation power. Besides, we employ interval-valued NS since a larger domain for the definition of T, I, and F is provided. Pairwise comparison matrices can be filled in by using linguistic terms such as weakly more important, moderately more important or extremely important. Then, we obtain the relative importance degrees of criteria by using the possibility degree method. In order to show the effectiveness of our method, a MCDM application is given in energy planning. Comparative and sensitivity analyses are also presented in the paper.  


2021 ◽  
pp. 74-100
Author(s):  
Galina N. Solntseva

Relevance of the article is due to the need to predict changes in the characteristics of traditional and new occupations with regard to development of information technologies and automation tools. The aim of the work is to identify the main areas of optimization and support of professional activities in the conditions of informatization based on the forecast of changes in conditions and situations of activity. Methods — theoretical analysis and systematization of ideas about the determinants of activity and their integration. Results. Stability and variability of professional activities are considered within the framework of situational approach, focused on the integration of external conditions and internal variables as the determinant of activities. The study clarifies the concept of activity conditions as characteristics of the environment. The definition of situation is limited to the relation of subjective interpretation and assessment of external conditions to evaluating personal resources in accordance with the purpose and actual experience, the mechanism of which is associated with reflexive regulation of activities. In accordance with the nature of subjective assessment of conditions, the types of situations are divided into ordinary and extreme. The situation is usual (standard) for a subject if the methods of action are well-established and assessed adequately, regardless of the conditions, which can be even dangerous, extreme and emergency. Unusual situations are characterized by a combination of novelty of conditions, on the one hand, and limited experience and resource assessment, on the other hand. According to the characteristics of resources (functional systems and the content of experience) it is suggested to distinguish between situations of tension, characterized by the need to act at the limit of one’s opportunities but within one’s experience, and situations of uncertainty. There are a number of arguments for limiting the notion of “uncertainty” and the corresponding situations to the characteristics of the internal subjective sphere, the source of which are components of activity, not elements of the environment. In situations of uncertainty, it is suggested to distinguish between the situations of problem solving and decisions making, actions that differ in psychological mechanisms, and to consider risk situations as a subcategory of decision making. The systemization of situations formed the basis for the forecast of their changes for traditional and new occupations in the context of advanced information technology, as well as the definition of the directions of software support for action and ensuring the preparedness. Conclusions. The probability of extreme and emergency situations involving danger for people is unlikely to change. Dangerous situations in professional environments can start to be assessed as ordinary if one forms an adequate concept of conditions and one’s own resources (readiness) by using training systems, including virtual reality tools. Information security problems are being studied intensively, both in terms of theoretical analysis of information environment characteristics and in the development of software protection and minimization of danger. It seems possible to reduce the situations of extreme. Minimizing problem situations can be obtained by creating experience and reducing uncertainty. In decision-making and risk situations it can be obtained through software and technical support for the choice and automation of assessment operations. The possibilities of using software and technology to reduce tension will also be expanded through automation of cognitive and executive operations, alignment of their parameters with the subject’s mental capabilities, formation of skills allowing one to work in a wide range of situations.


2011 ◽  
Vol 17 (2) ◽  
pp. 335-351 ◽  
Author(s):  
José M. Merigó ◽  
Guiwu Wei

We present the uncertain probabilistic ordered weighted averaging (UPOWA) operator. It is an aggregation operator that uses probabilities and OWA operators in the same formulation considering the degree of importance of each concept in the analysis. Moreover, it also uses uncertain information assessed with interval numbers in the aggregation process. The main advantage of this aggregation operator is that it is able to use the attitudinal character of the decision maker and the available probabilistic information in an environment where the information is very imprecise and can be assessed with interval numbers. We study some of its main properties and particular cases such as the uncertain probabilistic aggregation (UPA) and the uncertain OWA (UOWA) operator. We also develop an application of the new approach in a multi-person decision-making problem in political management regarding the selection of monetary policies. Thus, we obtain the multiperson UPOWA (MP-UPOWA) operator. We see that this model gives more complete information of the decision problem because it is able to deal with decision making problems under uncertainty and under risk in the same formulation. Santrauka Autoriai pristato tikimybinį svertinio vidurkio operatorių, taikytiną neapibrežtumo sąlygomis. Tai tikimybėmis pagrįstas sumavimo operatorius, kuris kartu su svertinio vidurkio operatoriais gali įvertinti alternatyvų svarbumo laipsnį. Be to, jis gali operuoti neapibrežta informacija, išreikšta skaičiais intervaluose. Pagrindinis šio operatoriaus privalumas yra tas, kad jį galima taikyti uždaviniams, kuriuose informacija yra netiksli. Išnagrinėtos kai kurios minėto operatoriaus savybės. Sukurtas metodas pritaikytas monetarinei politikai parinkti, situacijai, kai sprendimus priima žmoniu grupė. Modelis suteikia išsamesnę informaciją apie problemą, nes gali įvertinti neapibrežtumus ir riziką.


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