scholarly journals The characterization of regular ordered Gamma semigroups in terms of (E,EVq_k)-fuzzy Gamma ideals

2017 ◽  
Vol 13 (4) ◽  
pp. 576-580
Author(s):  
Ibrahim Gambo ◽  
Nor Haniza Sarmin ◽  
Hidayat Ullah Khan ◽  
Muhammad Faiz Khan
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Sufficient Conditions ◽  
Real Life ◽  
Completely Regular ◽  
Life Problems ◽  
Left Regular ◽  
Necessary And Sufficient

The advancement in the fascinating area of fuzzy set theory has become area of much interest, generalization of the existing fuzzy subsystems of other algebraic structures is very important to tackle more current real life problems. In this paper, we give more generalized form of regular ordered gamma semigroups in terms of (E,EVq_k)-fuzzy gamma ideals. Particularly, we characterized left regular, right regular, simple and completely regular ordered gamma semigroups in terms of this new notion. Some necessary and sufficient conditions for ordered gamma semigroup to be completely regular are provided in this paper.

scholarly journals Characterization of Creep Curves Using Fuzzy Set Theory.

1995 ◽  
Vol 61 (585) ◽  
pp. 980-985
Author(s):  
Masaaki Matubara ◽  
Nobuhiro Fujimura ◽  
Satoshi Tanzawa
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Creep Curves

scholarly journals Fuzzy-Fated Filters of -Algebras

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Jeong Soon Han ◽  
Young Bae Jun ◽  
Hee Sik Kim
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Fuzzy Filter

Fuzzy set theory of fated filters in -algebras is considered. A characterization of a fuzzy-fated filter is established, and conditions for a fuzzy filter to be a fuzzy-fated filter are provided. The notion of an -fuzzy-fated filter is introduced. Characterizations of an -fuzzy-fated filter are provided. Implication-based fuzzy-fated filters are discussed.

Single-Point Characterization of Uninorms with Nilpotent Underlying T-Norm and T-Conorm

2014 ◽  
Vol 22 (04) ◽  
pp. 591-604 ◽  
Author(s):  
Gang Li ◽  
Hua-Wen Liu ◽  
János Fodor
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Single Point ◽  
Unit Interval ◽  
Binary Operations ◽  
Construction Methods

Uninorms, as binary operations on the unit interval, have been widely applied in fuzzy set theory. In this paper, we study uninorms with nilpotent underlying t-norm and t-conorm. We prove that such a uninorm belongs to [Formula: see text] or [Formula: see text]. Moreover, some construction methods of uninorms from given t-norm and t-conorm are discussed.

Certain fuzzy hyperstructures from a fuzzy set

2020 ◽  
Vol 39 (3) ◽  
pp. 2775-2782
Author(s):  
B.O. Onasanya ◽  
T.S. Atamewoue ◽  
S. Hoskova-Mayerova
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Real Life ◽  
Mathematical Concepts

Fuzzy set theory and also the hypergroups in the sense of Marty are both generalizations of some existing mathematical concepts which are used for modeling many real life situations. The main purpose of this paper is the study of the link between fuzzy sets and fuzzy hypergroups and fuzzy semihypergroups. As a matter of fact, some commutative fuzzy hypergroups and fuzzy semihypergroups have been constructed from fuzzy set and some of their properties were investigated.

scholarly journals Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

2020 ◽  
Vol 49 (1) ◽  
Author(s):  
Young Bae Jun ◽  
Seok-Zun Song
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Ideal

Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are discussed. Using the notion of Inf-hesitant fuzzy (p-) ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established.

scholarly journals Makgeolli Structures and Its Application in BCK/BCI-Algebras

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 784
Author(s):  
Sun Shin Ahn ◽  
Seok-Zun Song ◽  
Young Bae Jun ◽  
Hee Sik Kim
Keyword(s):  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Soft Set ◽  
The Relationship

A fuzzy set is an extension of an existing set using fuzzy logic. Soft set theory is a generalization of fuzzy set theory. Fuzzy and soft set theory are good mathematical tools for dealing with uncertainty in a parametric manner. The aim of this article is to introduce the concept of makgeolli structures using fuzzy and soft set theory and to apply it to BCK/BCI-algebras. The notion of makgeolli algebra and makgeolli ideal in BCK/BCI-algebras is defined, and several properties are investigated. It deals with the relationship between makgeolli algebra and makgeolli ideal, and several examples are given. Characterization of makgeolli algebra and makgeolli ideal are discussed, and a new makgeolli algebra from old one is established. A condition for makgeolli algebra to be makgeolli ideal in BCK-soft universe is considered, and we give example to show that makgeolli ideal is not makgeolli algebra in BCI-soft universe. Conditions for makgeolli ideal to be makgeolli algebra in BCI-soft universe are provided.

Decision Making Methods Based on Fuzzy Aggregation Operators: Three Decades Review from 1986 to 2017

2018 ◽  
Vol 17 (02) ◽  
pp. 391-466 ◽  
Author(s):  
Abbas Mardani ◽  
Mehrbakhsh Nilashi ◽  
Edmundas Kazimieras Zavadskas ◽  
Siti Rahmah Awang ◽  
Habib Zare ◽  
...  
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Operator Theory ◽  
Real Life ◽  
Aggregation Operator ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Fuzzy Aggregation

In many real-life decision making (DM) situations, the available information is vague or imprecise. To adequately solve decision problems with vague or imprecise information, fuzzy set theory and aggregation operator theory have become powerful tools. In last three decades, DM theories and methods under fuzzy aggregation operator have been proposed and developed for effectively solving the DM problems and numerous applications have been reported in the literature. While various aggregation operators have been suggested and developed, there is a lack of research regarding systematic literature review and classification of study in this field. Regarding this, Web of Science database has been nominated and systematic and meta-analysis method called “PRISMA” has been proposed. Accordingly, a review of 312 published articles appearing in 33 popular journals related to fuzzy set theory, aggregation operator theory and DM approaches between July 1986 and June 2017 have been attained to reach a comprehensive review of DM methods and aggregation operator environment. Consequently, the selected published articles have been categorized by name of author(s), the publication year, technique, application area, country, research contribution and journals in which they appeared. The findings of this study found that, ordered weighted averaging (OWA) has been the highest frequently accessed more than other areas. This systematic review shows that the DM theories under fuzzy aggregation operator environment have received a great deal of interest from researchers and practitioners in many disciplines.

scholarly journals AN Application of Neutrosophic Vague Max-Min Composition Technique

2019 ◽  
Vol 9 (1) ◽  
pp. 5586-5589
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Neutrosophic Set ◽  
Medical Sciences ◽  
Vague Set ◽  
Vague Sets ◽  
Life Problems ◽  
Special Case ◽  
Composition Technique

The theory of fuzzy set was introduced by Zadeh, has a wider scope in terms of applications than the classical set theory in solving various problems. Extensive applications of the fuzzy set theory have been found in various fields such as Computer Sciences, Artificial Intelligence, Medical Sciences, Economics, Statistics, Neural Networks, etc. In fuzzy set each element had a degree of membership. Smarandache defined the neutrosophic set theory, which was one of the most important new mathematical tools for handling problems involving imprecise, indeterminacy, and inconsistent data. The theory of vague sets was first proposed by Gau and Buehrer as an extension of fuzzy set theory and vague sets are regarded as a special case of context-dependent fuzzy sets. Shawkat Alkhazaleh introduced the concept of neutrosophic vague set as a combination of neutrosophic set and vague set. Neutrosophic vague theory is an effective tool to process incomplete, indeterminate and inconsistent information. This paper attempts to develop a new model known as neutrosophic vague max-min composition technique to examine the daily life problems. One of the major problems that everyone comes across is their children’s studies. Education is a very important aspect of the lives of all people all over the world. What we learn, not just in the classroom, shapes who we are. We take our education everywhere we go. Student life is not as easier as it seems. Now a days the studies of the student is deviated due to various reasons. Here we identify those problems of students and by using neutrosophic vague max-min composition technique we analyze the problem faced by the students that affect their lack of concentration in studies.

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