Human opinion cannot be restricted to yes or no as depicted by conventional fuzzy set (FS)
and intuitionistic fuzzy set (IFS) but it can be yes, abstain, no and refusal as explained by …

Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and
uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory …

1. Intuitionistic Fuzzy Sets Page 1 1. Intuitionistic Fuzzy Sets The intuitionistic fuzzy set (IFS)
theory is based on: • extensions of corresponding definitions of fuzzy set objects, and • definitions …

Florentin Smarandache has coined the word" neutrosophy" in 1995 as the science of neutral
knowledge, and then he introduced the neutrosophic logic (as a generalization of the fuzzy …

Binary relations are most important in various fields of pure and applied sciences. The
concept of linear Diophantine fuzzy sets (LDFSs) proposed by Riaz and Hashmi is a novel …

Data clustering is an instrumental tool in the area of energy management resources,
marketing, and business. Clustering helps to increase productivity, facilitate decision …

We begin the paper studying the axioms that the indicators of the grade of inclusion of a
fuzzy set in another fuzzy set must satisfy. Next, we present an expression of such indicator …

We extend the main idea of a fuzzy analysis of consensus—that is based on a concept of a
distance from consensus—to a case when individual testimonies are individual intuitionistic …

Computing with words (CWW) is enriched by Type~ 2 fuzziness. Type~ 2 fuzziness exists
and provides a richer knowledge representation and approximate reasoning for computing …

This book examines fuzzy relational calculus theory with applications in various engineering
subjects. The scope of the text covers unified and exact methods with algorithms for direct …