The disappointment stochastic dominance includes first. Uses of linguistic representation model info 2tuples with. Facility layout planning problem flp concerns with the design of plan or layout for different operations within the enterprise for enhanced productivity and improved efficiency of a production system. Ju and wang 57 considered linguistic information for both the criteria values and criteria weights. The model is run using empirical data from six manufacturing organisations. Pdf decisionmaking approach based on neutrosophic rough. Thus, the ranking of alternatives is obtained by the comparison of linguistic twotuple information. In this contribution, we present an information granulation of the linguistic information in order to made it operational. The hesitant 2tuple linguistic set h2tls, a special case of hesitant 2tuple linguistic representation model, not only can express the qualitative preferences of the decision makers dms, but can effectively reflect their uncertainty and hesitancy with the help of translation parameter containing more than one element assigned to each linguistic variable of the linguistic term set lts. Thus, the neutrosophic rough set hybrid model gives more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. We argue that the use of the language of mathematical fuzzy logic.
This paper proposes a general framework for the study of the hesitant fuzzy linguistic rough set over two universes. International journal of computational intelligence systems. In this paper, we introduce a novel model that can be used to evaluate the operational and environmental performance of lmps. Donghai liu, yuanyuan liu and xiaohong chen, the new similarity measure and distance measure of a hesitant fuzzy linguistic term set based on a linguistic scale function, symmetry, 10. The linguistic information is expressed by means of 2tuples, which are. Towards an extension of the 2tuple linguistic model to. Multiattribute group decision making methods with proportional 2tuple linguistic assessments and weights. The aim of this paper is to propose the 2 tuple spherical fuzzy linguistic aggregation operators and a decisionmaking approach to deal with uncertainties in the form of 2 tuple spherical fuzzy. Pdf an approach for combining linguistic and numerical. Fuzzy set theory genetic algorithms hybrid methods intelligent control intelligent decisionmaking intelligent information processing intelligent recognition intelligent robotics interactive computational models machine learning manyvalued logics neural networks probabilistic computing rough set theory. Full text of advances in web intelligence electronic.
Intervalvalued intuitionistic linguistic multicriteria. Computing the numerical scale of the linguistic term set for. Thus, the neutrosophic rough set hybrid model gives more precision, flexibility and compatibility to the system as compared to the classic and fuzzy. In the extended method, the authors use 2 tuple linguistic neutrosophic numbers 2tlnns to present the criteria values in multiple attribute group decision making magdm problems. International journal of computational intelligence. Therefore, the results aggregated by the 2tuple linguistic operators may be between two 2tuples. The traditional set operations and corresponding properties are investigated.
In this paper, we study the group decision making gdm problem with twotuple linguistic information. Florentin smarandache 1, xiaohong zhang 2,3 and mumtaz ali 4. A method for this kind of group problems based on twotuple linguistic theory is proposed in this paper. C 12 the 2tuple linguistic representation approach for.
We shall analyze the conditions to impose the linguistic term set in order to ensure that the. Understanding customer requirements through quantitative. A method for this kind of group problems based on two tuple linguistic theory is proposed in this paper. Hesitant picture 2tuple linguistic aggregation operators. In this contribution, we present an information granulation of the linguistic information in order to. Is to reverse the collective values entered in the 2tuple which are valued in the set of labels. Aug 19, 2017 the interval 2 tuple linguistic model is an extension of 2 tuple linguistic approach 20,47 for better representing uncertain linguistic decision information. For the third point, there have been several studies to extend dea models for improving discrimination power of classical dea. Rn r that has an associated weighting vector w w1,w2. Hesitant fuzzy sets torra 2010 international journal.
Next, thay transformed the individual linguistic decision matrix given by. Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets florentin smarandache 1, xiaohong zhang 2,3 and mumtaz ali 4 1 department of mathematics and sciences, university of new mexico, 705 gurley ave. This paper is devoted to investigate type2 fuzzy rough sets based on extended tnorms with respect to type2 fuzzy relations with convex normal fuzzy truth values. Comparative analysis of multicriteria evaluation of. The 2 tuple linguistic variable can be converted into an equivalent numerical value by the following formula. Temporal association rules the term temporal association rules can cover a broad area of temporal data mining 26. Identifying key performance indicators for holistic hospital. A 2tuple fuzzy linguistic representation model for computing with wordsj. The extension of quality function deployment based on 2. Models for multiple attribute decision making with some 2.
The 2tuple linguistic dematel is used to analyze the influence relationships among attributes and calculate the objective importance degrees of attributes for adjusting the attribute weights optimized by 2tuple dea. Dominancebased fuzzy rough set analysis of uncertain and. Decision making methods based on fuzzy aggregation operators. Application of fuzzy ahptopsis method for decision making in. A fuzzy approach for the assessment of wastewater treatment. In order to enhance the precision, herrera and martinez 10 proposed 2tuple linguistic model. The 2tuple linguistic representation model is widely used as a basis for computing with words cw in linguistic decision making problems. Let be a linguistic term set and is 2tuple linguistic information, then there exists a function which is able to transform 2tuple linguistic information into its equivalent numerical value. Application of linguistic rough set in a decision making application.
In this article, an improved fuzzy kanos model is proposed to analyze customer requirements under uncertain environment. Letting be a 2tuple linguistic variable set, their arithmetic mean can be calculated as definition 2. Specifically, we design a decision mechanism for sustainable supplier selection based on linguistic 2tuple grey correlation degree. The negation operator over a 2tuple linguistic value is defined as. There are various techniques that could be used to solve mcdms, such as analytic hierarchy process ahp, technique for order preference by similarity to ideal solution topsis, electre, rough sets theory and multiobjective.
True, false that establishes if the linguistic domain can be represented by 2tuple linguistic values, i. The problem of personnel selection is usually framed as a multi criteria decision making. Hesitant fuzzy linguistic rough set over two universes model. Reasoning with rough sets and paraconsistent rough sets diva. Two different models based on linguistic 2tuples i. The 1tuple labels are vague and lose information in calculation. Applications in engineering and technology is to foster advancements of knowledge and help disseminate results concerning recent applications and case studies in the areas of fuzzy logic, intelligent systems, and webbased applications among working professionals and professionals in education and research. In this proposed mechanism, the hybrid attribute values whereby real numbers, interval numbers and linguistic fuzzy variables coexist are transformed into linguistic 2tuples. The model integrates a threeparameter interval grey number with rough set theory and the todim method.
Computing the numerical scale of the linguistic term set for the 2tuple fuzzy linguistic representation model dong, yucheng, xu, yinfeng and yu, shui 2009, computing the numerical scale of the linguistic term set for the 2tuple fuzzy linguistic representation model, i e e e transactions on fuzzy systems, vol. Full text of advances in web intelligence electronic resource. An approach to group making problems based on twotuple. Labeled fuzzy rough sets versus fuzzy flow graphs scitepress. The advantages of 2tuple linguistic representation model in processing linguistic information are obvious. Xu y and wang h 2011 approaches based on 2tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment, applied soft computing, 11.
To do so, we shall use the 2tuple linguistic representation model. Florentin smarandache 1, xiaohong zhang 2,3 and mumtaz. Pfs by combining rough sets, which provides a new perspective for. Dual generalized grey linguistic 2tuple weighted bonferroni mean aggregation operator. Computing the numerical scale of the linguistic term set. Moreover, a method based on the interval 2 tuple is presented to solve the intervalvalued intuitionistic linguistic multicriteria decisionmaking mcdm problems. When is a 2tuple linguistic variable set and is the weight set of linguistic terms, the 2tuple linguistic weighted average can be computed as definition 2. The hamy mean hm operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2 tuple linguistic pythagorean fuzzy numbers 2tlpfns are a special kind of pythagorean fuzzy numbers pfns, which can easily describe the fuzziness in actual decision making by 2 tuple linguistic terms 2tlts.
Volume 1 algebraic structures of neutrosophic triplets. In the domain of computing with words cw, fuzzy linguistic approaches are known to be relevant in many decisionmaking problems. The group decisionmaking is a new way recent years in the world which is based on the analysis of linguistic information. A 2tuple fuzzy linguistic rfm model and its implementation. Hesitant fuzzy linguistic rough set over two universes. Application of fuzzy ahptopsis method for decision.
Imbalanced classification using fuzzy rough set theory. Zhang 41 presented the interval 2tuple linguistic representation model and introduced some aggregation. The main advantages of this formalism are that decision makers can express their judgments by the use of different linguistic term sets, and various uncertainties in the assessments of. An extended 2tuple linguistic dea for solving magdm problems. None of the above methods have been used for operational and environmental sustainability evaluation of lmps. A 2tuple linguistic fuzzy kanos questionnaire is developed to model the uncertainty and diversity of customers assessments using 2tuple linguistic variables under multigranularity linguistic environment. Pdf martinez, l a 2tuple fuzzy linguistic representation model. Firstly, the certainty interval of an intervalvalued intuitionistic linguistic number iviln is defined to convert an iviln into an interval 2 tuple. Dominancebased rough set approach is the extension of classical pawlak rough set theories and methodologies, in which the information with preferenceordered relation on the domain of attribute value is fully considered. Hence, rough set theory expresses vagueness not by means of membership.
Due to the complexity of decisionmaking problems, decision makers evaluation information can be categorized into two linguistic grades. The novel application of the 2tuple linguistic representation identi. These approximations are two basic operations in rough set theory. In the dominancebased information system, upper and lower approximations will.
Connecting the linguistic hierarchy and the numerical. The linguistic information is expressed by means of 2tuples, which are composed. Optimal site selection of electric vehicle charging. The hamy mean hm operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2tuple linguistic pythagorean fuzzy numbers 2tlpfns are a special kind of pythagorean fuzzy numbers pfns, which can easily describe the fuzziness in actual decision making by 2tuple linguistic terms 2tlts. Identifying key performance indicators for holistic. Afterwards we shall develop a linguistic decision model dealing with multigranular linguistic contexts and apply it to a multi. Interpretation of formulas is realized in a general frame which is a tuple. Due to the superiority of svns, there are many researches associated with it, such as ye 40 that introduced the correlation coef. Third, the 2tuple linguistic representation model that rectifies the problem of loss of information faced with other fuzzy linguistic approaches is employed in the a fuzzy approach for the assessment of wastewater treatment alternatives mehtap dursun t. The labeled fuzzy rough sets approach is compared with the fuzzy flow graph approach. The mentioned linguistic labels above only have one linguistic term and are called as 1tuple linguistic model. The new operations which were based on the linear or nonlinear mapping relationship between linguistic labels and numerical values, could be effectively used on 1tuple or 2tuple linguistic. In this paper we shall develop a procedure for combining numerical and linguistic information without loss of information in the transformation processes between numerical and linguistic information, taking as base for representing the information the 2tuple fuzzy linguistic representation model. Assume that and are disappointment cumulative distribution functions of.
We develop the algebraic operations and discuss their corresponding properties based on which we introduce the applications of this theory in solving decision making problems. Iterative rule learning irl with a genetic algorithm ga simultaneously induces rules and tunes the membership functions. An approach for combining linguistic and numerical information based on the 2tuple fuzzy linguistic representation model in decisionmaking. Fuzzy sets 39 and rough sets 24 are two natural computing paradigms that attempt to deal with. Request pdf 2tuple linguistic soft set and its application to group decision making the aim of this paper is to put forward the 2tuple linguistic soft set by combining the concepts of 2. An outranking approach for hesitant 2tuple linguistic. Let be a set of grey linguistic 2tuple variables, then the following properties of the gltpa operator hold. Then average preference degree of one alternative over all the other alternatives is calculated. The aim of this paper is to put forward the 2tuple linguistic soft set by combining the concepts of 2tuple linguistic term set and soft set. An outranking approach for hesitant 2tuple linguistic sets. Fusion of qualitative beliefs based on linguistic labels.
Towards an extension of the 2tuple linguistic model to deal. The extension of quality function deployment based on 2tuple. Using fuzzy type theory, we generalize basic concepts of rough set theory and. Thus, it is necessary to study the fusion of the hesitant fuzzy linguistic term set and rough set over two universes. Aggregation of 2tuples obtained in the previous step. Twotuple linguistic information in group decisionmaking. It is used for representing the linguistic assessment information by means of a 2tuple s i, i, where s i is a linguistic label from predefined linguistic term set s and i is the value of. Temporal fuzzy association rule mining with 2tuple. A synthesizing effectbased solution method for stochastic rough multiobjective programming problems. The aim of this paper is to propose the 2tuple spherical fuzzy linguistic aggregation operators and a decisionmaking approach to deal with uncertainties in the form of 2tuple spherical fuzzy. The 2tuple linguistic aggregation operator consists of obtaining a value that summarizes a set of 2.
In this paper we shall develop a procedure for combining numerical and linguistic information without loss of information in the transformation processes between numerical and linguistic information, taking as base for representing the information the 2 tuple fuzzy linguistic representation model. The 2tuple linguistic representation a 2tuple fuzzy set is a linguistic representation based on a symbolic translation of a fuzzy set 14. First,the method transforms initial linguistic information into group judgement matrix,and then give the select process of optimal alternative based on an operator. An extended fuzzy vikor for group decisionmaking based on. Tanino, fuzzy preference orderings in group decision making, fuzzy sets and systems, 12 1984 1171. Fuzzy decision support modeling for hydrogen power plant. Iske2007 is the 2nd in a series of conferences on intelligent systems and knowledge engineering. Second international atlantic web intelligence conference, awic 2004, cancun, mexico, may 1619, 2004.
Convert the linguistic labels in s valued input 2valued tuples in s t step 2. Wang, approaches based on 2tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment, applied soft computing 11 2011 39883997. Group decisionmaking approach based on generalized grey. The linguistic computational model based on discrete fuzzy numbers 19. The 2tuple linguistic computational model 18, which is a symbolic computational model that extends the use of indexes. Proceedings of the 11th conference of the european society. Fuzzyrough nearest neighbour classification and prediction. Hesitant fuzzy sets torra 2010 international journal of. The 2007 international conference proceedings on intelligent systems and knowledge engineering iske2007 contain 284 final accepted papers from 797 online submissions for iseke2007.
Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information. In 28, a data table1 is defined as a tuple t u, a, vi i. A symbolic translation is the lateral displacement of the fuzzy set within the interval. Pdf a model based on linguistic 2tuples for dealing. These two theories can be combined into a framework for modeling and processing incomplete information in information systems. Designmethodologyapproach the phenomenon of poor information exists in some big data scenario.
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