Book Description
The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantageofgoodflexibilitywiththeoperationalparameter. Inexistingstudies,however,theDombi operations have so far not yet been used for neutrosophic sets.
Author : Jiqian Chen
Publisher : Infinite Study
Page : 11 pages
File Size : 48,66 MB
Release :
Category :
ISBN :
The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantageofgoodflexibilitywiththeoperationalparameter. Inexistingstudies,however,theDombi operations have so far not yet been used for neutrosophic sets.
Author : Lilian Shi
Publisher : Infinite Study
Page : 17 pages
File Size : 22,82 MB
Release :
Category :
ISBN :
The neutrosophic cubic set can describe complex decision-making problems with its single-valued neutrosophic numbers and interval neutrosophic numbers simultaneously. The Dombi operations have the advantage of good flexibility with the operational parameter.
Author : Jie Wang
Publisher : Infinite Study
Page : 15 pages
File Size : 25,2 MB
Release :
Category :
ISBN :
In this article, we expand the dual generalized weighted BM (DGWBM) and dual generalized weighted geometric Bonferroni mean (DGWGBM) operator with single valued neutrosophic numbers (SVNNs) to propose the dual generalized single-valued neutrosophic number WBM (DGSVNNWBM) operator and dual generalized single-valued neutrosophic numbers WGBM (DGSVNNWGBM) operator.
Author : Li Wang
Publisher : Infinite Study
Page : 15 pages
File Size : 18,69 MB
Release :
Category : Mathematics
ISBN :
As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multi-attribute decision-making problems based on the proposed operators.
Author : LIHUA YANG
Publisher : Infinite Study
Page : 22 pages
File Size : 16,53 MB
Release :
Category : Mathematics
ISBN :
In order to take into account quantitative and qualitative information in real complex decision making issue, a multiple-valued neutrosophic uncertain linguistic set (MVNULS) is initially proposed, which includes the uncertain linguistic part and the multiple-valued neutrosophic set (MVNS). Consequently, it has the advantages of them in expressing evaluation information.
Author : Mehmet Şahin
Publisher : Infinite Study
Page : 34 pages
File Size : 48,10 MB
Release :
Category :
ISBN :
In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity.
Author : Qaisar Khan
Publisher : Infinite Study
Page : 32 pages
File Size : 17,98 MB
Release :
Category : Mathematics
ISBN :
The power Bonferroni mean (PBM) operator is a hybrid structure and can take the advantage of a power average (PA) operator, which can reduce the impact of inappropriate data given by the prejudiced decision makers (DMs) and Bonferroni mean (BM) operator, which can take into account the correlation between two attributes. In recent years, many researchers have extended the PBM operator to handle fuzzy information.
Author : Muhammad Khalid Mahmood
Publisher : Infinite Study
Page : 13 pages
File Size : 15,72 MB
Release :
Category : Mathematics
ISBN :
In this paper, Dombi t-norm (TN) and Dombi t-conorm (TCN) are used to generate more complex, flexible and feasible operation rules by managing a parameter in bipolar neutrosophic fuzzy (BNF) environment. We introduce the notion of bipolar neutrosophic Dombi weighted geometric aggregation (BNDWGA) and bipolar neutrosophic Dombi ordered weighted geometric aggregation (BNDOWGA) operators.
Author : LI-PING ZHOU
Publisher : Infinite Study
Page : 24 pages
File Size : 35,63 MB
Release :
Category : Mathematics
ISBN :
This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. First, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are dened and their related properties are investigated. Based on these new operational laws, some new aggregation operators for IVNNs are developed including the interval-valued neutrosophic Frank weighted averaging (IVNFWA) operator and the interval-valued neutrosophic Frank weighted geometric (IVNFWG) operator. Then some desirable properties and special cases of these new operators are further discussed. To solve the MAGDM with IVNNs, the weights of decision makers (DMs) are determined by using extended technique for order preference by similarity to ideal solution (TOPSIS) method based on cross-entropy. Additionally, attribute weights are determined based on the similarity degrees between alternatives and the absolute ideal solutions. Further, two new decision-making approaches for MAGDM with IVNNs are put forward by means of the IVNFWA and IVNFWG operators, respectively.Finally, a case study of selecting an agricultural socialization service provider is analyzed to illustrate the practicality and effectiveness of the developed two approaches.
Author : Li-Ping Zhou
Publisher : Infinite Study
Page : 22 pages
File Size : 42,21 MB
Release :
Category : Mathematics
ISBN :
This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. Firstly, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are defined and their related properties are investigated.