Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices

Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices
Author: Ignacio J. Navarro
Publisher: Infinite Study
Total Pages: 19
Release:
Genre: Mathematics
ISBN:

The present paper proposes a neutrosophic AHP completion methodology to reduce the number of judgments required to be emitted by the decision maker. This increases the consistency of their responses, while accounting for uncertainties associated to the fuzziness of human thinking. The method is applied to a sustainable-design problem, resulting in weight estimations that allow for a reduction of up to 22% of the conventionally required comparisons, with an average accuracy below 10% between estimates and the weights resulting from a conventionally completed AHP matrix, and a root mean standard error below 15%.

Plithogeny, Plithogenic Set, Logic, Probability, and Statistics

Plithogeny, Plithogenic Set, Logic, Probability, and Statistics
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 143
Release: 2017-10-01
Genre: Mathematics
ISBN:

We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).

Neutrosophic Multi-Criteria Decision Making Approach for IoT-Based Enterprises

Neutrosophic Multi-Criteria Decision Making Approach for IoT-Based Enterprises
Author: Nada A. Nabeeh
Publisher: Infinite Study
Total Pages: 19
Release:
Genre: Mathematics
ISBN:

Internet of Things (IoT) connects billion of devices to afford inventive opportunities between things and people. The rapid development of products related to IoT is a new challenge to keep security issues, lack of confidence, and understanding of IoT. Analytical hierarchy process (AHP) is a classic multi criteria decision making (MCDM) method used to analyze and scale complex problems and to obtain weights for the selected criteria. The vague and inconsistent information in real situations can lead to decision maker's confusion.

A Neutrosophic Enhanced Best-Worst Method for Considering Decision-Makers’ Confidence in the Best and Worst Criteria

A Neutrosophic Enhanced Best-Worst Method for Considering Decision-Makers’ Confidence in the Best and Worst Criteria
Author: Amin Vafadarnikjoo
Publisher: Infinite Study
Total Pages: 41
Release:
Genre: Mathematics
ISBN:

The best-worst method (BWM) is a multiple criteria decision-making (MCDM) method for evaluating a set of alternatives based on a set of decision criteria where two vectors of pairwise comparisons are used to calculate the importance weight of decision criteria. The BWM is an efficient and mathematically sound method used to solve a wide range of MCDM problems by reducing the number of pairwise comparisons and identifying the inconsistencies derived from the comparison process. In spite of its simplicity and efficiency, the BWM does not consider the decision-makers’ (DMs’) confidence about their pairwise comparisons. We propose a neutrosophic enhancement to the original BWM by introducing two new parameters as the DMs’ confidence in the best-to-others preferences and the DMs’ confidence in the others-to-worst preferences. We present two real-world cases to illustrate the applicability of the proposed neutrosophic enhanced BWM (NE-BWM) by considering confidence rating levels of the DMs.

Neutrosophic approach for enhancing quality of signals

Neutrosophic approach for enhancing quality of signals
Author: Sudan Jha
Publisher: Infinite Study
Total Pages: 32
Release:
Genre: Mathematics
ISBN:

Information in a signal is often followed by undesirable disturbance which is termed as noise. Preventing noise in the signal leads to signal integrity, which also leads to better signal quality. The previous related works have the major issues while reducing noise in signals regarding assumptions, frequency and time domain, etc. This paper proposes a new Neutrosophic approach to reduce noises and errors in signal transmission. In the proposed method, confidence function is used as the truth membership function, which is associated with sampled time intervals.

Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets
Author: Cengiz Kahraman
Publisher: Springer
Total Pages: 734
Release: 2018-11-03
Genre: Technology & Engineering
ISBN: 3030000451

This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.

Fuzzy Analytic Hierarchy Process

Fuzzy Analytic Hierarchy Process
Author: Ali Emrouznejad
Publisher: CRC Press
Total Pages: 0
Release: 2017-09-18
Genre: Business & Economics
ISBN: 1315352885

This book is the first in the literature to present the state of the art and some interesting and relevant applications of the Fuzzy Analytic Hierarchy Process (FAHP). The AHP is a conceptually and mathematically simple, easily implementable, yet extremely powerful tool for group decision making and is used around the world in a wide variety of decision situations, in fields such as government, business, industry, healthcare, and education. The aim of this book is to study various fuzzy methods for dealing with the imprecise and ambiguous data in AHP. Features: First book available on FAHP. Showcases state-of-the-art developments. Contains several novel real-life applications. Provides useful insights to both academics and practitioners in making group decisions under uncertainty This book provides the necessary background to work with existing fuzzy AHP models. Once the material in this book has been mastered, the reader will be able to apply fuzzy AHP models to his or her problems for making decisions with imprecise data.

Neutrosophy

Neutrosophy
Author: Florentin Smarandache
Publisher:
Total Pages: 110
Release: 1998
Genre: Mathematics
ISBN: