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We have given examples and theorems to examine the relations between them and their relations with fuzzy soft (weak, strong) hyper BCK-ideals. Then, we have introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal, reflexive neutrosophic hyper BCK-ideal and neutrosophic commutative hyper BCK-ideal and indicated some relevant properties and their relations. Finally, we introduce the notions of neutrosophic soft (weak, strong) hyper BCK-ideal and (weak, strong) neutrosophic soft hyper p-ideal and have got some results on them.
Book Synopsis (Fuzzy and neutrosophic) soft hyper BCK-ideals by : Somayeh KHADEMAN
Download or read book (Fuzzy and neutrosophic) soft hyper BCK-ideals written by Somayeh KHADEMAN and published by Infinite Study. This book was released on with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have given examples and theorems to examine the relations between them and their relations with fuzzy soft (weak, strong) hyper BCK-ideals. Then, we have introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal, reflexive neutrosophic hyper BCK-ideal and neutrosophic commutative hyper BCK-ideal and indicated some relevant properties and their relations. Finally, we introduce the notions of neutrosophic soft (weak, strong) hyper BCK-ideal and (weak, strong) neutrosophic soft hyper p-ideal and have got some results on them.
In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra. The notions of the MBJ-neutrosophic hyper BCK-ideal, the MBJ-neutrosophic weak hyper BCK-ideal, the MBJ-neutrosophic s-weak hyper BCK-ideal and the MBJ-neutrosophic strong hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.
Book Synopsis MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras by : Abdelaziz Alsubie
Download or read book MBJ-neutrosophic hyper BCK-ideals in hyper BCK-algebras written by Abdelaziz Alsubie and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2018, Takallo et al. introduced the concept of an MBJ-neutrosophic structure, which is a generalization of a neutrosophic structure, and applied it to a BCK/BCI-algebra. The aim of this study is to apply the notion of an MBJ-neutrosophic structure to a hyper BCK-algebra. The notions of the MBJ-neutrosophic hyper BCK-ideal, the MBJ-neutrosophic weak hyper BCK-ideal, the MBJ-neutrosophic s-weak hyper BCK-ideal and the MBJ-neutrosophic strong hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These notions are discussed in connection with the MBJ-neutrosophic level cut sets.
In this paper we introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal and reflexive neutrosophic hyper BCK-ideal. Some relevant properties and their relations are indicated. Characterization of neutrosophic (weak) hyper BCK-ideal is considered.
Book Synopsis Neutrosophic Hyper BCK-Ideals by : S. Khademan
Download or read book Neutrosophic Hyper BCK-Ideals written by S. Khademan and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal and reflexive neutrosophic hyper BCK-ideal. Some relevant properties and their relations are indicated. Characterization of neutrosophic (weak) hyper BCK-ideal is considered.
This paper introduces the concept of single-valued neutrosophic hyper BCK-subalgebras as a generalization and alternative of hyper BCK-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper BCK-subalgebra and one a single-valued neutrosophic hyper BCK-ideal. In this study level subsets play the main role in the connection between single-valued bneutrosophic hyper BCK-subalgebras and hyper BCK-subalgebras and the connection between single-valued neutrosophic hyper BCK-ideals and hyper BCK-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper BCK-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper BCK-ideals.
Book Synopsis Extended BCK-Ideal Based On Single-Valued Neutrosophic Hyper BCK-Ideals by : Mohammad Hamidi
Download or read book Extended BCK-Ideal Based On Single-Valued Neutrosophic Hyper BCK-Ideals written by Mohammad Hamidi and published by Infinite Study. This book was released on 2023-01-01 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the concept of single-valued neutrosophic hyper BCK-subalgebras as a generalization and alternative of hyper BCK-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper BCK-subalgebra and one a single-valued neutrosophic hyper BCK-ideal. In this study level subsets play the main role in the connection between single-valued bneutrosophic hyper BCK-subalgebras and hyper BCK-subalgebras and the connection between single-valued neutrosophic hyper BCK-ideals and hyper BCK-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper BCK-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper BCK-ideals.
The objective of this investigation is to discuss qualitatively the different methodological approaches developed to deal with uncertainty in decision making processes. For its preparation were used mainly the analysis of documents, the historicallogical method and the analytical-synthetic method which allowed an assessment of the state of the art in the topic. It was possible to identify that the phenomenon of uncertainty has two natures: one aleatory and other epistemic. Aleatory uncertainty arises from stochastic processes, while epistemic uncertainty is caused by imprecision, ignorance, credibility or incompleteness in the information necessary to make the decision. Aleatory uncertainty is effectively modeled by probability theory, which constitutes the starting point for maximizing expected utility in decision processes. Epistemic uncertainty is modeled, depending on the characteristic of the information, mainly through fuzzy sets theory, rough sets or gray systems. Each of these approaches has its advantages and disadvantages, so in order to take advantage of their strengths, hybrid models have been created. Nowadays, given the need to make more robust decisions, all these theories are being refined by the scientific community because, although uncertainty cannot be completely eliminated they have shown that it can be dealt with effectively.
Book Synopsis Methodological Approaches to Deal with Uncertainty in Decision Making Processes by : Alejandro Valdéz López
Download or read book Methodological Approaches to Deal with Uncertainty in Decision Making Processes written by Alejandro Valdéz López and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this investigation is to discuss qualitatively the different methodological approaches developed to deal with uncertainty in decision making processes. For its preparation were used mainly the analysis of documents, the historicallogical method and the analytical-synthetic method which allowed an assessment of the state of the art in the topic. It was possible to identify that the phenomenon of uncertainty has two natures: one aleatory and other epistemic. Aleatory uncertainty arises from stochastic processes, while epistemic uncertainty is caused by imprecision, ignorance, credibility or incompleteness in the information necessary to make the decision. Aleatory uncertainty is effectively modeled by probability theory, which constitutes the starting point for maximizing expected utility in decision processes. Epistemic uncertainty is modeled, depending on the characteristic of the information, mainly through fuzzy sets theory, rough sets or gray systems. Each of these approaches has its advantages and disadvantages, so in order to take advantage of their strengths, hybrid models have been created. Nowadays, given the need to make more robust decisions, all these theories are being refined by the scientific community because, although uncertainty cannot be completely eliminated they have shown that it can be dealt with effectively.
In this paper, we propose the notion of single-valued neutrosophic soft topological K-algebras. We discuss certain concepts, including interior, closure, C5-connected, super connected, Compactness and Hausdorff in singlevalued neutrosophic soft topological K-algebras. We illustrate these concepts with examples and investigate some of their related properties. We also study image and pre-image of single-valued neutrosophic soft topologicalK-algebras.
Book Synopsis Neutrosophic Soft Topological K-Algebras by : Muhammad Akram
Download or read book Neutrosophic Soft Topological K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose the notion of single-valued neutrosophic soft topological K-algebras. We discuss certain concepts, including interior, closure, C5-connected, super connected, Compactness and Hausdorff in singlevalued neutrosophic soft topological K-algebras. We illustrate these concepts with examples and investigate some of their related properties. We also study image and pre-image of single-valued neutrosophic soft topologicalK-algebras.
The purpose of this paper is to introduce the notion of fuzzy neutrosophic soft ideal in fuzzy neutrosophic soft set theory. The concept of fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new fuzzy neutrosophic soft topologies from the original one. The basic structure, especially a basis for such generated fuzzy neutrosophic soft topologies also studied here. Finally, the notion of compatibility of fuzzy neutrosophic soft ideals with fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning this topic are established here.
Book Synopsis Fuzzy neutrosophic Soft Ideal Theory Fuzzy neutrosophic Soft Local Function and Generated Fuzzy neutrosophic Soft Topological Spaces by : Ather Farhan lafta
Download or read book Fuzzy neutrosophic Soft Ideal Theory Fuzzy neutrosophic Soft Local Function and Generated Fuzzy neutrosophic Soft Topological Spaces written by Ather Farhan lafta and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to introduce the notion of fuzzy neutrosophic soft ideal in fuzzy neutrosophic soft set theory. The concept of fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new fuzzy neutrosophic soft topologies from the original one. The basic structure, especially a basis for such generated fuzzy neutrosophic soft topologies also studied here. Finally, the notion of compatibility of fuzzy neutrosophic soft ideals with fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning this topic are established here.
This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.
Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache
Download or read book Collected Papers. Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.
In this paper, we introduce the concept of neutrosophic fuzzy soft translations and neutrosophic fuzzy soft extensions of neutrosophic fuzzy soft BCK-submodules and discusse the relation between them. Also, we de ne the notion of neutrosophic fuzzy soft multiplications of neutrosophic fuzzy soft BCK-submodules. Finally, we investigate some resultes.
Book Synopsis Contemporary Concepts of Neutrosophic Fuzzy Soft BCK-submodules by : R. S. Alghamdi
Download or read book Contemporary Concepts of Neutrosophic Fuzzy Soft BCK-submodules written by R. S. Alghamdi and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the concept of neutrosophic fuzzy soft translations and neutrosophic fuzzy soft extensions of neutrosophic fuzzy soft BCK-submodules and discusse the relation between them. Also, we de ne the notion of neutrosophic fuzzy soft multiplications of neutrosophic fuzzy soft BCK-submodules. Finally, we investigate some resultes.
